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Finding the Fourth Proportional to 2,230.60, 3,344.76 and 1,306.42

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Solution

The fourth proportional to 2,230.60, 3,344.76 and 1,306.42 is: 1,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.60 : 3,344.76 = 1,306.42 : x
  2. Step 2: Convert to fraction form
    2,230.60/3,344.76 = 1,306.42/x
  3. Step 3: Cross multiply
    2,230.60x = 3,344.76 × 1,306.42
  4. Step 4: Simplify right side
    2,230.60x = 4,369,661.36
  5. Step 5: Solve for x
    x = 4,369,661.36/2,230.60
  6. Step 6: Final answer
    x = 1,958.96

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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.