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Finding the Fourth Proportional to 1,538.61, 2,306.97 and 613.10

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Solution

The fourth proportional to 1,538.61, 2,306.97 and 613.10 is: 919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.61 : 2,306.97 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,538.61/2,306.97 = 613.10/x
  3. Step 3: Cross multiply
    1,538.61x = 2,306.97 × 613.10
  4. Step 4: Simplify right side
    1,538.61x = 1,414,391.77
  5. Step 5: Solve for x
    x = 1,414,391.77/1,538.61
  6. Step 6: Final answer
    x = 919.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.