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Finding the Fourth Proportional to 2,147.40, 3,218.40 and 1,049.40

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Solution

The fourth proportional to 2,147.40, 3,218.40 and 1,049.40 is: 1,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.40 : 3,218.40 = 1,049.40 : x
  2. Step 2: Convert to fraction form
    2,147.40/3,218.40 = 1,049.40/x
  3. Step 3: Cross multiply
    2,147.40x = 3,218.40 × 1,049.40
  4. Step 4: Simplify right side
    2,147.40x = 3,377,388.96
  5. Step 5: Solve for x
    x = 3,377,388.96/2,147.40
  6. Step 6: Final answer
    x = 1,572.78

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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.