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Finding the Fourth Proportional to 2,389.72, 3,584.48 and 658.30

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Solution

The fourth proportional to 2,389.72, 3,584.48 and 658.30 is: 987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.72 : 3,584.48 = 658.30 : x
  2. Step 2: Convert to fraction form
    2,389.72/3,584.48 = 658.30/x
  3. Step 3: Cross multiply
    2,389.72x = 3,584.48 × 658.30
  4. Step 4: Simplify right side
    2,389.72x = 2,359,646.91
  5. Step 5: Solve for x
    x = 2,359,646.91/2,389.72
  6. Step 6: Final answer
    x = 987.42

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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.