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Finding the Fourth Proportional to 2,247.20, 3,371.33 and 708.20

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Solution

The fourth proportional to 2,247.20, 3,371.33 and 708.20 is: 1,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.20 : 3,371.33 = 708.20 : x
  2. Step 2: Convert to fraction form
    2,247.20/3,371.33 = 708.20/x
  3. Step 3: Cross multiply
    2,247.20x = 3,371.33 × 708.20
  4. Step 4: Simplify right side
    2,247.20x = 2,387,555.51
  5. Step 5: Solve for x
    x = 2,387,555.51/2,247.20
  6. Step 6: Final answer
    x = 1,062.46

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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.