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Finding the Fourth Proportional to 2,052.74, 3,080.73 and 754.58

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Solution

The fourth proportional to 2,052.74, 3,080.73 and 754.58 is: 1,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.74 : 3,080.73 = 754.58 : x
  2. Step 2: Convert to fraction form
    2,052.74/3,080.73 = 754.58/x
  3. Step 3: Cross multiply
    2,052.74x = 3,080.73 × 754.58
  4. Step 4: Simplify right side
    2,052.74x = 2,324,657.24
  5. Step 5: Solve for x
    x = 2,324,657.24/2,052.74
  6. Step 6: Final answer
    x = 1,132.47

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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.