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Finding the Fourth Proportional to 1,254.66, 1,882 and 1,177.72

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Solution

The fourth proportional to 1,254.66, 1,882 and 1,177.72 is: 1,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.66 : 1,882 = 1,177.72 : x
  2. Step 2: Convert to fraction form
    1,254.66/1,882 = 1,177.72/x
  3. Step 3: Cross multiply
    1,254.66x = 1,882 × 1,177.72
  4. Step 4: Simplify right side
    1,254.66x = 2,216,469.04
  5. Step 5: Solve for x
    x = 2,216,469.04/1,254.66
  6. Step 6: Final answer
    x = 1,766.59

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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.