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Finding the Fourth Proportional to 2,383.96, 3,575.10 and 996.57

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Solution

The fourth proportional to 2,383.96, 3,575.10 and 996.57 is: 1,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.96 : 3,575.10 = 996.57 : x
  2. Step 2: Convert to fraction form
    2,383.96/3,575.10 = 996.57/x
  3. Step 3: Cross multiply
    2,383.96x = 3,575.10 × 996.57
  4. Step 4: Simplify right side
    2,383.96x = 3,562,837.41
  5. Step 5: Solve for x
    x = 3,562,837.41/2,383.96
  6. Step 6: Final answer
    x = 1,494.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,384.96, 3,576.60 and 997.57
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.