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Finding the Fourth Proportional to 2,732.92, 3,773.21 and 2,102.28

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Solution

The fourth proportional to 2,732.92, 3,773.21 and 2,102.28 is: 2,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.92 : 3,773.21 = 2,102.28 : x
  2. Step 2: Convert to fraction form
    2,732.92/3,773.21 = 2,102.28/x
  3. Step 3: Cross multiply
    2,732.92x = 3,773.21 × 2,102.28
  4. Step 4: Simplify right side
    2,732.92x = 7,932,343.92
  5. Step 5: Solve for x
    x = 7,932,343.92/2,732.92
  6. Step 6: Final answer
    x = 2,902.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.