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Finding the Fourth Proportional to 1,461.85, 2,192.77 and 487.73

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Solution

The fourth proportional to 1,461.85, 2,192.77 and 487.73 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.85 : 2,192.77 = 487.73 : x
  2. Step 2: Convert to fraction form
    1,461.85/2,192.77 = 487.73/x
  3. Step 3: Cross multiply
    1,461.85x = 2,192.77 × 487.73
  4. Step 4: Simplify right side
    1,461.85x = 1,069,479.71
  5. Step 5: Solve for x
    x = 1,069,479.71/1,461.85
  6. Step 6: Final answer
    x = 731.59

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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.