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Finding the Fourth Proportional to 7,269.40, 10,902.78 and 2,074

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Solution

The fourth proportional to 7,269.40, 10,902.78 and 2,074 is: 3,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.40 : 10,902.78 = 2,074 : x
  2. Step 2: Convert to fraction form
    7,269.40/10,902.78 = 2,074/x
  3. Step 3: Cross multiply
    7,269.40x = 10,902.78 × 2,074
  4. Step 4: Simplify right side
    7,269.40x = 22,612,365.72
  5. Step 5: Solve for x
    x = 22,612,365.72/7,269.40
  6. Step 6: Final answer
    x = 3,110.62

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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.