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Finding the Fourth Proportional to 2,489.98, 3,437.46 and 1,959.22

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Solution

The fourth proportional to 2,489.98, 3,437.46 and 1,959.22 is: 2,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.98 : 3,437.46 = 1,959.22 : x
  2. Step 2: Convert to fraction form
    2,489.98/3,437.46 = 1,959.22/x
  3. Step 3: Cross multiply
    2,489.98x = 3,437.46 × 1,959.22
  4. Step 4: Simplify right side
    2,489.98x = 6,734,740.38
  5. Step 5: Solve for x
    x = 6,734,740.38/2,489.98
  6. Step 6: Final answer
    x = 2,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.