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Finding the Fourth Proportional to 2,755.95, 4,134.15 and 781.61

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Solution

The fourth proportional to 2,755.95, 4,134.15 and 781.61 is: 1,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.95 : 4,134.15 = 781.61 : x
  2. Step 2: Convert to fraction form
    2,755.95/4,134.15 = 781.61/x
  3. Step 3: Cross multiply
    2,755.95x = 4,134.15 × 781.61
  4. Step 4: Simplify right side
    2,755.95x = 3,231,272.31
  5. Step 5: Solve for x
    x = 3,231,272.31/2,755.95
  6. Step 6: Final answer
    x = 1,172.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.