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Finding the Fourth Proportional to 2,052.98, 3,080.82 and 754.46

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Solution

The fourth proportional to 2,052.98, 3,080.82 and 754.46 is: 1,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.98 : 3,080.82 = 754.46 : x
  2. Step 2: Convert to fraction form
    2,052.98/3,080.82 = 754.46/x
  3. Step 3: Cross multiply
    2,052.98x = 3,080.82 × 754.46
  4. Step 4: Simplify right side
    2,052.98x = 2,324,355.46
  5. Step 5: Solve for x
    x = 2,324,355.46/2,052.98
  6. Step 6: Final answer
    x = 1,132.19

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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.