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Finding the Fourth Proportional to 3,474.40, 4,793.16 and 2,148.70

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Solution

The fourth proportional to 3,474.40, 4,793.16 and 2,148.70 is: 2,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.40 : 4,793.16 = 2,148.70 : x
  2. Step 2: Convert to fraction form
    3,474.40/4,793.16 = 2,148.70/x
  3. Step 3: Cross multiply
    3,474.40x = 4,793.16 × 2,148.70
  4. Step 4: Simplify right side
    3,474.40x = 10,299,062.89
  5. Step 5: Solve for x
    x = 10,299,062.89/3,474.40
  6. Step 6: Final answer
    x = 2,964.27

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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.