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Finding the Fourth Proportional to 1,920.31, 2,650.17 and 1,081.15

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Solution

The fourth proportional to 1,920.31, 2,650.17 and 1,081.15 is: 1,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.31 : 2,650.17 = 1,081.15 : x
  2. Step 2: Convert to fraction form
    1,920.31/2,650.17 = 1,081.15/x
  3. Step 3: Cross multiply
    1,920.31x = 2,650.17 × 1,081.15
  4. Step 4: Simplify right side
    1,920.31x = 2,865,231.30
  5. Step 5: Solve for x
    x = 2,865,231.30/1,920.31
  6. Step 6: Final answer
    x = 1,492.07

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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.