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Finding the Fourth Proportional to 2,713.92, 3,744.96 and 1,534.80

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Solution

The fourth proportional to 2,713.92, 3,744.96 and 1,534.80 is: 2,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.92 : 3,744.96 = 1,534.80 : x
  2. Step 2: Convert to fraction form
    2,713.92/3,744.96 = 1,534.80/x
  3. Step 3: Cross multiply
    2,713.92x = 3,744.96 × 1,534.80
  4. Step 4: Simplify right side
    2,713.92x = 5,747,764.61
  5. Step 5: Solve for x
    x = 5,747,764.61/2,713.92
  6. Step 6: Final answer
    x = 2,117.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.