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Finding the Fourth Proportional to 1,488.72, 2,231.54 and 610.86

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Solution

The fourth proportional to 1,488.72, 2,231.54 and 610.86 is: 915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.72 : 2,231.54 = 610.86 : x
  2. Step 2: Convert to fraction form
    1,488.72/2,231.54 = 610.86/x
  3. Step 3: Cross multiply
    1,488.72x = 2,231.54 × 610.86
  4. Step 4: Simplify right side
    1,488.72x = 1,363,158.52
  5. Step 5: Solve for x
    x = 1,363,158.52/1,488.72
  6. Step 6: Final answer
    x = 915.66

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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.