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Finding the Fourth Proportional to 2,139.49, 3,207.27 and 752.07

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Solution

The fourth proportional to 2,139.49, 3,207.27 and 752.07 is: 1,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.49 : 3,207.27 = 752.07 : x
  2. Step 2: Convert to fraction form
    2,139.49/3,207.27 = 752.07/x
  3. Step 3: Cross multiply
    2,139.49x = 3,207.27 × 752.07
  4. Step 4: Simplify right side
    2,139.49x = 2,412,091.55
  5. Step 5: Solve for x
    x = 2,412,091.55/2,139.49
  6. Step 6: Final answer
    x = 1,127.41

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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.