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Finding the Fourth Proportional to 2,710.16, 3,740.10 and 1,531.28

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Solution

The fourth proportional to 2,710.16, 3,740.10 and 1,531.28 is: 2,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.16 : 3,740.10 = 1,531.28 : x
  2. Step 2: Convert to fraction form
    2,710.16/3,740.10 = 1,531.28/x
  3. Step 3: Cross multiply
    2,710.16x = 3,740.10 × 1,531.28
  4. Step 4: Simplify right side
    2,710.16x = 5,727,140.33
  5. Step 5: Solve for x
    x = 5,727,140.33/2,710.16
  6. Step 6: Final answer
    x = 2,113.21

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