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Finding the Fourth Proportional to 2,572.43, 3,872.64 and 1,755.83

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Solution

The fourth proportional to 2,572.43, 3,872.64 and 1,755.83 is: 2,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.43 : 3,872.64 = 1,755.83 : x
  2. Step 2: Convert to fraction form
    2,572.43/3,872.64 = 1,755.83/x
  3. Step 3: Cross multiply
    2,572.43x = 3,872.64 × 1,755.83
  4. Step 4: Simplify right side
    2,572.43x = 6,799,678.13
  5. Step 5: Solve for x
    x = 6,799,678.13/2,572.43
  6. Step 6: Final answer
    x = 2,643.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.