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Finding the Fourth Proportional to 1,371.72, 1,892.22 and 874.10

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Solution

The fourth proportional to 1,371.72, 1,892.22 and 874.10 is: 1,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.72 : 1,892.22 = 874.10 : x
  2. Step 2: Convert to fraction form
    1,371.72/1,892.22 = 874.10/x
  3. Step 3: Cross multiply
    1,371.72x = 1,892.22 × 874.10
  4. Step 4: Simplify right side
    1,371.72x = 1,653,989.50
  5. Step 5: Solve for x
    x = 1,653,989.50/1,371.72
  6. Step 6: Final answer
    x = 1,205.78

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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.