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Finding the Fourth Proportional to 1,314.16, 1,813.72 and 1,092.74

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Solution

The fourth proportional to 1,314.16, 1,813.72 and 1,092.74 is: 1,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.16 : 1,813.72 = 1,092.74 : x
  2. Step 2: Convert to fraction form
    1,314.16/1,813.72 = 1,092.74/x
  3. Step 3: Cross multiply
    1,314.16x = 1,813.72 × 1,092.74
  4. Step 4: Simplify right side
    1,314.16x = 1,981,924.39
  5. Step 5: Solve for x
    x = 1,981,924.39/1,314.16
  6. Step 6: Final answer
    x = 1,508.13

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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.