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Finding the Fourth Proportional to 2,230.27, 3,345.42 and 997.74

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Solution

The fourth proportional to 2,230.27, 3,345.42 and 997.74 is: 1,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.27 : 3,345.42 = 997.74 : x
  2. Step 2: Convert to fraction form
    2,230.27/3,345.42 = 997.74/x
  3. Step 3: Cross multiply
    2,230.27x = 3,345.42 × 997.74
  4. Step 4: Simplify right side
    2,230.27x = 3,337,859.35
  5. Step 5: Solve for x
    x = 3,337,859.35/2,230.27
  6. Step 6: Final answer
    x = 1,496.62

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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.