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Finding the Fourth Proportional to 3,301.11, 4,951.67 and 992.61

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Solution

The fourth proportional to 3,301.11, 4,951.67 and 992.61 is: 1,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.11 : 4,951.67 = 992.61 : x
  2. Step 2: Convert to fraction form
    3,301.11/4,951.67 = 992.61/x
  3. Step 3: Cross multiply
    3,301.11x = 4,951.67 × 992.61
  4. Step 4: Simplify right side
    3,301.11x = 4,915,077.16
  5. Step 5: Solve for x
    x = 4,915,077.16/3,301.11
  6. Step 6: Final answer
    x = 1,488.92

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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.