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Finding the Fourth Proportional to 2,557.96, 3,836.76 and 997.67

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Solution

The fourth proportional to 2,557.96, 3,836.76 and 997.67 is: 1,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.96 : 3,836.76 = 997.67 : x
  2. Step 2: Convert to fraction form
    2,557.96/3,836.76 = 997.67/x
  3. Step 3: Cross multiply
    2,557.96x = 3,836.76 × 997.67
  4. Step 4: Simplify right side
    2,557.96x = 3,827,833.68
  5. Step 5: Solve for x
    x = 3,827,833.68/2,557.96
  6. Step 6: Final answer
    x = 1,496.44

Related Problems

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Half scale
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Double scale
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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.