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Finding the Fourth Proportional to 1,251.61, 1,724.34 and 1,193.29

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Solution

The fourth proportional to 1,251.61, 1,724.34 and 1,193.29 is: 1,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.61 : 1,724.34 = 1,193.29 : x
  2. Step 2: Convert to fraction form
    1,251.61/1,724.34 = 1,193.29/x
  3. Step 3: Cross multiply
    1,251.61x = 1,724.34 × 1,193.29
  4. Step 4: Simplify right side
    1,251.61x = 2,057,637.68
  5. Step 5: Solve for x
    x = 2,057,637.68/1,251.61
  6. Step 6: Final answer
    x = 1,643.99

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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.