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Finding the Fourth Proportional to 1,920.43, 2,876.86 and 996.59

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Solution

The fourth proportional to 1,920.43, 2,876.86 and 996.59 is: 1,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.43 : 2,876.86 = 996.59 : x
  2. Step 2: Convert to fraction form
    1,920.43/2,876.86 = 996.59/x
  3. Step 3: Cross multiply
    1,920.43x = 2,876.86 × 996.59
  4. Step 4: Simplify right side
    1,920.43x = 2,867,030.54
  5. Step 5: Solve for x
    x = 2,867,030.54/1,920.43
  6. Step 6: Final answer
    x = 1,492.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.