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Finding the Fourth Proportional to 1,371.05, 1,892.13 and 781.58

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Solution

The fourth proportional to 1,371.05, 1,892.13 and 781.58 is: 1,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.05 : 1,892.13 = 781.58 : x
  2. Step 2: Convert to fraction form
    1,371.05/1,892.13 = 781.58/x
  3. Step 3: Cross multiply
    1,371.05x = 1,892.13 × 781.58
  4. Step 4: Simplify right side
    1,371.05x = 1,478,841.50
  5. Step 5: Solve for x
    x = 1,478,841.50/1,371.05
  6. Step 6: Final answer
    x = 1,078.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.