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Finding the Fourth Proportional to 1,371.83, 1,892.61 and 874.68

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Solution

The fourth proportional to 1,371.83, 1,892.61 and 874.68 is: 1,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.83 : 1,892.61 = 874.68 : x
  2. Step 2: Convert to fraction form
    1,371.83/1,892.61 = 874.68/x
  3. Step 3: Cross multiply
    1,371.83x = 1,892.61 × 874.68
  4. Step 4: Simplify right side
    1,371.83x = 1,655,428.11
  5. Step 5: Solve for x
    x = 1,655,428.11/1,371.83
  6. Step 6: Final answer
    x = 1,206.73

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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.