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Finding the Fourth Proportional to 2,383.21, 3,573.08 and 996.94

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Solution

The fourth proportional to 2,383.21, 3,573.08 and 996.94 is: 1,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.21 : 3,573.08 = 996.94 : x
  2. Step 2: Convert to fraction form
    2,383.21/3,573.08 = 996.94/x
  3. Step 3: Cross multiply
    2,383.21x = 3,573.08 × 996.94
  4. Step 4: Simplify right side
    2,383.21x = 3,562,146.38
  5. Step 5: Solve for x
    x = 3,562,146.38/2,383.21
  6. Step 6: Final answer
    x = 1,494.68

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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.