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Finding the Fourth Proportional to 2,230.46, 3,344.75 and 913.31

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Solution

The fourth proportional to 2,230.46, 3,344.75 and 913.31 is: 1,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.46 : 3,344.75 = 913.31 : x
  2. Step 2: Convert to fraction form
    2,230.46/3,344.75 = 913.31/x
  3. Step 3: Cross multiply
    2,230.46x = 3,344.75 × 913.31
  4. Step 4: Simplify right side
    2,230.46x = 3,054,772.33
  5. Step 5: Solve for x
    x = 3,054,772.33/2,230.46
  6. Step 6: Final answer
    x = 1,369.57

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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.