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Finding the Fourth Proportional to 1,487.28, 2,230.88 and 391.62

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Solution

The fourth proportional to 1,487.28, 2,230.88 and 391.62 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.28 : 2,230.88 = 391.62 : x
  2. Step 2: Convert to fraction form
    1,487.28/2,230.88 = 391.62/x
  3. Step 3: Cross multiply
    1,487.28x = 2,230.88 × 391.62
  4. Step 4: Simplify right side
    1,487.28x = 873,657.23
  5. Step 5: Solve for x
    x = 873,657.23/1,487.28
  6. Step 6: Final answer
    x = 587.42

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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.