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Finding the Fourth Proportional to 2,987.27, 4,472.67 and 2,254.62

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Solution

The fourth proportional to 2,987.27, 4,472.67 and 2,254.62 is: 3,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.27 : 4,472.67 = 2,254.62 : x
  2. Step 2: Convert to fraction form
    2,987.27/4,472.67 = 2,254.62/x
  3. Step 3: Cross multiply
    2,987.27x = 4,472.67 × 2,254.62
  4. Step 4: Simplify right side
    2,987.27x = 10,084,171.24
  5. Step 5: Solve for x
    x = 10,084,171.24/2,987.27
  6. Step 6: Final answer
    x = 3,375.72

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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.