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Finding the Fourth Proportional to 2,517.51, 3,474.10 and 1,398.39

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Solution

The fourth proportional to 2,517.51, 3,474.10 and 1,398.39 is: 1,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.51 : 3,474.10 = 1,398.39 : x
  2. Step 2: Convert to fraction form
    2,517.51/3,474.10 = 1,398.39/x
  3. Step 3: Cross multiply
    2,517.51x = 3,474.10 × 1,398.39
  4. Step 4: Simplify right side
    2,517.51x = 4,858,146.70
  5. Step 5: Solve for x
    x = 4,858,146.70/2,517.51
  6. Step 6: Final answer
    x = 1,929.74

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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.