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Finding the Fourth Proportional to 2,472.64, 3,708.38 and 717.18

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Solution

The fourth proportional to 2,472.64, 3,708.38 and 717.18 is: 1,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.64 : 3,708.38 = 717.18 : x
  2. Step 2: Convert to fraction form
    2,472.64/3,708.38 = 717.18/x
  3. Step 3: Cross multiply
    2,472.64x = 3,708.38 × 717.18
  4. Step 4: Simplify right side
    2,472.64x = 2,659,575.97
  5. Step 5: Solve for x
    x = 2,659,575.97/2,472.64
  6. Step 6: Final answer
    x = 1,075.60

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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.