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Finding the Fourth Proportional to 3,149.59, 4,722.80 and 958.04

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Solution

The fourth proportional to 3,149.59, 4,722.80 and 958.04 is: 1,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.59 : 4,722.80 = 958.04 : x
  2. Step 2: Convert to fraction form
    3,149.59/4,722.80 = 958.04/x
  3. Step 3: Cross multiply
    3,149.59x = 4,722.80 × 958.04
  4. Step 4: Simplify right side
    3,149.59x = 4,524,626.52
  5. Step 5: Solve for x
    x = 4,524,626.52/3,149.59
  6. Step 6: Final answer
    x = 1,436.58

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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.