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Finding the Fourth Proportional to 1,658.32, 2,487.26 and 927.42

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Solution

The fourth proportional to 1,658.32, 2,487.26 and 927.42 is: 1,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.32 : 2,487.26 = 927.42 : x
  2. Step 2: Convert to fraction form
    1,658.32/2,487.26 = 927.42/x
  3. Step 3: Cross multiply
    1,658.32x = 2,487.26 × 927.42
  4. Step 4: Simplify right side
    1,658.32x = 2,306,734.67
  5. Step 5: Solve for x
    x = 2,306,734.67/1,658.32
  6. Step 6: Final answer
    x = 1,391.01

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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.