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Finding the Fourth Proportional to 1,974.42, 2,962.19 and 658.29

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Solution

The fourth proportional to 1,974.42, 2,962.19 and 658.29 is: 987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.42 : 2,962.19 = 658.29 : x
  2. Step 2: Convert to fraction form
    1,974.42/2,962.19 = 658.29/x
  3. Step 3: Cross multiply
    1,974.42x = 2,962.19 × 658.29
  4. Step 4: Simplify right side
    1,974.42x = 1,949,976.76
  5. Step 5: Solve for x
    x = 1,949,976.76/1,974.42
  6. Step 6: Final answer
    x = 987.62

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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.