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Finding the Fourth Proportional to 2,254.68, 3,377.16 and 1,098

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Solution

The fourth proportional to 2,254.68, 3,377.16 and 1,098 is: 1,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.68 : 3,377.16 = 1,098 : x
  2. Step 2: Convert to fraction form
    2,254.68/3,377.16 = 1,098/x
  3. Step 3: Cross multiply
    2,254.68x = 3,377.16 × 1,098
  4. Step 4: Simplify right side
    2,254.68x = 3,708,121.68
  5. Step 5: Solve for x
    x = 3,708,121.68/2,254.68
  6. Step 6: Final answer
    x = 1,644.63

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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.