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Finding the Fourth Proportional to 4,502.97, 6,754.59 and 2,034.90

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Solution

The fourth proportional to 4,502.97, 6,754.59 and 2,034.90 is: 3,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.97 : 6,754.59 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    4,502.97/6,754.59 = 2,034.90/x
  3. Step 3: Cross multiply
    4,502.97x = 6,754.59 × 2,034.90
  4. Step 4: Simplify right side
    4,502.97x = 13,744,915.19
  5. Step 5: Solve for x
    x = 13,744,915.19/4,502.97
  6. Step 6: Final answer
    x = 3,052.41

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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.