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Finding the Fourth Proportional to 2,032.91, 3,049.89 and 862.95

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Solution

The fourth proportional to 2,032.91, 3,049.89 and 862.95 is: 1,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.91 : 3,049.89 = 862.95 : x
  2. Step 2: Convert to fraction form
    2,032.91/3,049.89 = 862.95/x
  3. Step 3: Cross multiply
    2,032.91x = 3,049.89 × 862.95
  4. Step 4: Simplify right side
    2,032.91x = 2,631,902.58
  5. Step 5: Solve for x
    x = 2,631,902.58/2,032.91
  6. Step 6: Final answer
    x = 1,294.65

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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.