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Finding the Fourth Proportional to 1,920.53, 2,650.19 and 1,081.06

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Solution

The fourth proportional to 1,920.53, 2,650.19 and 1,081.06 is: 1,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.53 : 2,650.19 = 1,081.06 : x
  2. Step 2: Convert to fraction form
    1,920.53/2,650.19 = 1,081.06/x
  3. Step 3: Cross multiply
    1,920.53x = 2,650.19 × 1,081.06
  4. Step 4: Simplify right side
    1,920.53x = 2,865,002.37
  5. Step 5: Solve for x
    x = 2,865,002.37/1,920.53
  6. Step 6: Final answer
    x = 1,491.78

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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.