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Finding the Fourth Proportional to 1,269.80, 1,755.24 and 1,167.74

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Solution

The fourth proportional to 1,269.80, 1,755.24 and 1,167.74 is: 1,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.80 : 1,755.24 = 1,167.74 : x
  2. Step 2: Convert to fraction form
    1,269.80/1,755.24 = 1,167.74/x
  3. Step 3: Cross multiply
    1,269.80x = 1,755.24 × 1,167.74
  4. Step 4: Simplify right side
    1,269.80x = 2,049,663.96
  5. Step 5: Solve for x
    x = 2,049,663.96/1,269.80
  6. Step 6: Final answer
    x = 1,614.16

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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.