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Finding the Fourth Proportional to 1,449.92, 2,002.19 and 926.87

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Solution

The fourth proportional to 1,449.92, 2,002.19 and 926.87 is: 1,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.92 : 2,002.19 = 926.87 : x
  2. Step 2: Convert to fraction form
    1,449.92/2,002.19 = 926.87/x
  3. Step 3: Cross multiply
    1,449.92x = 2,002.19 × 926.87
  4. Step 4: Simplify right side
    1,449.92x = 1,855,755.20
  5. Step 5: Solve for x
    x = 1,855,755.20/1,449.92
  6. Step 6: Final answer
    x = 1,279.91

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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.