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Finding the Fourth Proportional to 1,920.46, 2,649.89 and 1,081.18

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Solution

The fourth proportional to 1,920.46, 2,649.89 and 1,081.18 is: 1,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.46 : 2,649.89 = 1,081.18 : x
  2. Step 2: Convert to fraction form
    1,920.46/2,649.89 = 1,081.18/x
  3. Step 3: Cross multiply
    1,920.46x = 2,649.89 × 1,081.18
  4. Step 4: Simplify right side
    1,920.46x = 2,865,008.07
  5. Step 5: Solve for x
    x = 2,865,008.07/1,920.46
  6. Step 6: Final answer
    x = 1,491.83

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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.