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Finding the Fourth Proportional to 2,755.72, 4,131.14 and 1,023.13

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Solution

The fourth proportional to 2,755.72, 4,131.14 and 1,023.13 is: 1,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,131.14 = 1,023.13 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,131.14 = 1,023.13/x
  3. Step 3: Cross multiply
    2,755.72x = 4,131.14 × 1,023.13
  4. Step 4: Simplify right side
    2,755.72x = 4,226,672.61
  5. Step 5: Solve for x
    x = 4,226,672.61/2,755.72
  6. Step 6: Final answer
    x = 1,533.78

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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.