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Finding the Fourth Proportional to 2,387.28, 3,581.98 and 926.55

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Solution

The fourth proportional to 2,387.28, 3,581.98 and 926.55 is: 1,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.28 : 3,581.98 = 926.55 : x
  2. Step 2: Convert to fraction form
    2,387.28/3,581.98 = 926.55/x
  3. Step 3: Cross multiply
    2,387.28x = 3,581.98 × 926.55
  4. Step 4: Simplify right side
    2,387.28x = 3,318,865.66
  5. Step 5: Solve for x
    x = 3,318,865.66/2,387.28
  6. Step 6: Final answer
    x = 1,390.23

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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.