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Finding the Fourth Proportional to 1,253.50, 1,872.07 and 1,080.52

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Solution

The fourth proportional to 1,253.50, 1,872.07 and 1,080.52 is: 1,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.50 : 1,872.07 = 1,080.52 : x
  2. Step 2: Convert to fraction form
    1,253.50/1,872.07 = 1,080.52/x
  3. Step 3: Cross multiply
    1,253.50x = 1,872.07 × 1,080.52
  4. Step 4: Simplify right side
    1,253.50x = 2,022,809.08
  5. Step 5: Solve for x
    x = 2,022,809.08/1,253.50
  6. Step 6: Final answer
    x = 1,613.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.