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Finding the Fourth Proportional to 2,398.20, 3,310.46 and 2,149.08

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Solution

The fourth proportional to 2,398.20, 3,310.46 and 2,149.08 is: 2,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.20 : 3,310.46 = 2,149.08 : x
  2. Step 2: Convert to fraction form
    2,398.20/3,310.46 = 2,149.08/x
  3. Step 3: Cross multiply
    2,398.20x = 3,310.46 × 2,149.08
  4. Step 4: Simplify right side
    2,398.20x = 7,114,443.38
  5. Step 5: Solve for x
    x = 7,114,443.38/2,398.20
  6. Step 6: Final answer
    x = 2,966.58

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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.