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Finding the Fourth Proportional to 2,587.90, 3,882.84 and 1,107.42

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Solution

The fourth proportional to 2,587.90, 3,882.84 and 1,107.42 is: 1,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.90 : 3,882.84 = 1,107.42 : x
  2. Step 2: Convert to fraction form
    2,587.90/3,882.84 = 1,107.42/x
  3. Step 3: Cross multiply
    2,587.90x = 3,882.84 × 1,107.42
  4. Step 4: Simplify right side
    2,587.90x = 4,299,937.80
  5. Step 5: Solve for x
    x = 4,299,937.80/2,587.90
  6. Step 6: Final answer
    x = 1,661.56

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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.