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Finding the Fourth Proportional to 3,104.53, 4,285.84 and 2,394.78

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Solution

The fourth proportional to 3,104.53, 4,285.84 and 2,394.78 is: 3,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.53 : 4,285.84 = 2,394.78 : x
  2. Step 2: Convert to fraction form
    3,104.53/4,285.84 = 2,394.78/x
  3. Step 3: Cross multiply
    3,104.53x = 4,285.84 × 2,394.78
  4. Step 4: Simplify right side
    3,104.53x = 10,263,637.93
  5. Step 5: Solve for x
    x = 10,263,637.93/3,104.53
  6. Step 6: Final answer
    x = 3,306.02

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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.