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Finding the Fourth Proportional to 2,198.42, 3,034.01 and 1,254.26

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Solution

The fourth proportional to 2,198.42, 3,034.01 and 1,254.26 is: 1,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.42 : 3,034.01 = 1,254.26 : x
  2. Step 2: Convert to fraction form
    2,198.42/3,034.01 = 1,254.26/x
  3. Step 3: Cross multiply
    2,198.42x = 3,034.01 × 1,254.26
  4. Step 4: Simplify right side
    2,198.42x = 3,805,437.38
  5. Step 5: Solve for x
    x = 3,805,437.38/2,198.42
  6. Step 6: Final answer
    x = 1,730.99

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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.