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Finding the Fourth Proportional to 2,139.87, 3,207.50 and 1,399.20

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Solution

The fourth proportional to 2,139.87, 3,207.50 and 1,399.20 is: 2,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.87 : 3,207.50 = 1,399.20 : x
  2. Step 2: Convert to fraction form
    2,139.87/3,207.50 = 1,399.20/x
  3. Step 3: Cross multiply
    2,139.87x = 3,207.50 × 1,399.20
  4. Step 4: Simplify right side
    2,139.87x = 4,487,929.24
  5. Step 5: Solve for x
    x = 4,487,929.24/2,139.87
  6. Step 6: Final answer
    x = 2,097.29

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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.