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Finding the Fourth Proportional to 3,073.60, 4,596.27 and 2,294.11

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Solution

The fourth proportional to 3,073.60, 4,596.27 and 2,294.11 is: 3,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.60 : 4,596.27 = 2,294.11 : x
  2. Step 2: Convert to fraction form
    3,073.60/4,596.27 = 2,294.11/x
  3. Step 3: Cross multiply
    3,073.60x = 4,596.27 × 2,294.11
  4. Step 4: Simplify right side
    3,073.60x = 10,544,348.97
  5. Step 5: Solve for x
    x = 10,544,348.97/3,073.60
  6. Step 6: Final answer
    x = 3,430.62

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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.