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Finding the Fourth Proportional to 1,371.22, 1,891.82 and 781.34

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Solution

The fourth proportional to 1,371.22, 1,891.82 and 781.34 is: 1,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.22 : 1,891.82 = 781.34 : x
  2. Step 2: Convert to fraction form
    1,371.22/1,891.82 = 781.34/x
  3. Step 3: Cross multiply
    1,371.22x = 1,891.82 × 781.34
  4. Step 4: Simplify right side
    1,371.22x = 1,478,154.64
  5. Step 5: Solve for x
    x = 1,478,154.64/1,371.22
  6. Step 6: Final answer
    x = 1,077.99

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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.