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Finding the Fourth Proportional to 2,793.29, 3,848.21 and 2,298.78

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Solution

The fourth proportional to 2,793.29, 3,848.21 and 2,298.78 is: 3,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.29 : 3,848.21 = 2,298.78 : x
  2. Step 2: Convert to fraction form
    2,793.29/3,848.21 = 2,298.78/x
  3. Step 3: Cross multiply
    2,793.29x = 3,848.21 × 2,298.78
  4. Step 4: Simplify right side
    2,793.29x = 8,846,185.31
  5. Step 5: Solve for x
    x = 8,846,185.31/2,793.29
  6. Step 6: Final answer
    x = 3,166.95

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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.