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Finding the Fourth Proportional to 1,371.75, 1,891.34 and 1,039.60

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Solution

The fourth proportional to 1,371.75, 1,891.34 and 1,039.60 is: 1,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.75 : 1,891.34 = 1,039.60 : x
  2. Step 2: Convert to fraction form
    1,371.75/1,891.34 = 1,039.60/x
  3. Step 3: Cross multiply
    1,371.75x = 1,891.34 × 1,039.60
  4. Step 4: Simplify right side
    1,371.75x = 1,966,227.61
  5. Step 5: Solve for x
    x = 1,966,227.61/1,371.75
  6. Step 6: Final answer
    x = 1,433.37

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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.