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Finding the Fourth Proportional to 1,271.97, 1,909.32 and 1,126.62

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Solution

The fourth proportional to 1,271.97, 1,909.32 and 1,126.62 is: 1,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.97 : 1,909.32 = 1,126.62 : x
  2. Step 2: Convert to fraction form
    1,271.97/1,909.32 = 1,126.62/x
  3. Step 3: Cross multiply
    1,271.97x = 1,909.32 × 1,126.62
  4. Step 4: Simplify right side
    1,271.97x = 2,151,078.10
  5. Step 5: Solve for x
    x = 2,151,078.10/1,271.97
  6. Step 6: Final answer
    x = 1,691.14

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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.