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Finding the Fourth Proportional to 2,979.50, 4,469.39 and 2,458.53

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Solution

The fourth proportional to 2,979.50, 4,469.39 and 2,458.53 is: 3,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.50 : 4,469.39 = 2,458.53 : x
  2. Step 2: Convert to fraction form
    2,979.50/4,469.39 = 2,458.53/x
  3. Step 3: Cross multiply
    2,979.50x = 4,469.39 × 2,458.53
  4. Step 4: Simplify right side
    2,979.50x = 10,988,117.10
  5. Step 5: Solve for x
    x = 10,988,117.10/2,979.50
  6. Step 6: Final answer
    x = 3,687.91

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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.