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Finding the Fourth Proportional to 1,587.76, 2,189.04 and 1,229.20

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Solution

The fourth proportional to 1,587.76, 2,189.04 and 1,229.20 is: 1,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.76 : 2,189.04 = 1,229.20 : x
  2. Step 2: Convert to fraction form
    1,587.76/2,189.04 = 1,229.20/x
  3. Step 3: Cross multiply
    1,587.76x = 2,189.04 × 1,229.20
  4. Step 4: Simplify right side
    1,587.76x = 2,690,767.97
  5. Step 5: Solve for x
    x = 2,690,767.97/1,587.76
  6. Step 6: Final answer
    x = 1,694.69

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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.