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Finding the Fourth Proportional to 2,562.72, 3,531.84 and 2,002.32

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Solution

The fourth proportional to 2,562.72, 3,531.84 and 2,002.32 is: 2,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.72 : 3,531.84 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    2,562.72/3,531.84 = 2,002.32/x
  3. Step 3: Cross multiply
    2,562.72x = 3,531.84 × 2,002.32
  4. Step 4: Simplify right side
    2,562.72x = 7,071,873.87
  5. Step 5: Solve for x
    x = 7,071,873.87/2,562.72
  6. Step 6: Final answer
    x = 2,759.52

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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.