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Finding the Fourth Proportional to 1,913.57, 2,640.32 and 1,251.39

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Solution

The fourth proportional to 1,913.57, 2,640.32 and 1,251.39 is: 1,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.57 : 2,640.32 = 1,251.39 : x
  2. Step 2: Convert to fraction form
    1,913.57/2,640.32 = 1,251.39/x
  3. Step 3: Cross multiply
    1,913.57x = 2,640.32 × 1,251.39
  4. Step 4: Simplify right side
    1,913.57x = 3,304,063.79
  5. Step 5: Solve for x
    x = 3,304,063.79/1,913.57
  6. Step 6: Final answer
    x = 1,726.65

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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.