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Finding the Fourth Proportional to 1,317.57, 1,966.13 and 1,142.61

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Solution

The fourth proportional to 1,317.57, 1,966.13 and 1,142.61 is: 1,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.57 : 1,966.13 = 1,142.61 : x
  2. Step 2: Convert to fraction form
    1,317.57/1,966.13 = 1,142.61/x
  3. Step 3: Cross multiply
    1,317.57x = 1,966.13 × 1,142.61
  4. Step 4: Simplify right side
    1,317.57x = 2,246,514.09
  5. Step 5: Solve for x
    x = 2,246,514.09/1,317.57
  6. Step 6: Final answer
    x = 1,705.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.