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Finding the Fourth Proportional to 1,658.73, 2,489.13 and 928.79

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Solution

The fourth proportional to 1,658.73, 2,489.13 and 928.79 is: 1,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.73 : 2,489.13 = 928.79 : x
  2. Step 2: Convert to fraction form
    1,658.73/2,489.13 = 928.79/x
  3. Step 3: Cross multiply
    1,658.73x = 2,489.13 × 928.79
  4. Step 4: Simplify right side
    1,658.73x = 2,311,866.61
  5. Step 5: Solve for x
    x = 2,311,866.61/1,658.73
  6. Step 6: Final answer
    x = 1,393.76

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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.