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Finding the Fourth Proportional to 2,708.10, 3,737.14 and 1,529.14

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Solution

The fourth proportional to 2,708.10, 3,737.14 and 1,529.14 is: 2,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.10 : 3,737.14 = 1,529.14 : x
  2. Step 2: Convert to fraction form
    2,708.10/3,737.14 = 1,529.14/x
  3. Step 3: Cross multiply
    2,708.10x = 3,737.14 × 1,529.14
  4. Step 4: Simplify right side
    2,708.10x = 5,714,610.26
  5. Step 5: Solve for x
    x = 5,714,610.26/2,708.10
  6. Step 6: Final answer
    x = 2,110.19

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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.