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Finding the Fourth Proportional to 2,620.38, 3,616.02 and 1,425.31

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Solution

The fourth proportional to 2,620.38, 3,616.02 and 1,425.31 is: 1,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.38 : 3,616.02 = 1,425.31 : x
  2. Step 2: Convert to fraction form
    2,620.38/3,616.02 = 1,425.31/x
  3. Step 3: Cross multiply
    2,620.38x = 3,616.02 × 1,425.31
  4. Step 4: Simplify right side
    2,620.38x = 5,153,949.47
  5. Step 5: Solve for x
    x = 5,153,949.47/2,620.38
  6. Step 6: Final answer
    x = 1,966.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.