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Finding the Fourth Proportional to 1,493.52, 2,240.40 and 397.89

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Solution

The fourth proportional to 1,493.52, 2,240.40 and 397.89 is: 596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.52 : 2,240.40 = 397.89 : x
  2. Step 2: Convert to fraction form
    1,493.52/2,240.40 = 397.89/x
  3. Step 3: Cross multiply
    1,493.52x = 2,240.40 × 397.89
  4. Step 4: Simplify right side
    1,493.52x = 891,432.76
  5. Step 5: Solve for x
    x = 891,432.76/1,493.52
  6. Step 6: Final answer
    x = 596.87

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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.