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Finding the Fourth Proportional to 3,234.25, 4,463.27 and 1,762.25

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Solution

The fourth proportional to 3,234.25, 4,463.27 and 1,762.25 is: 2,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.25 : 4,463.27 = 1,762.25 : x
  2. Step 2: Convert to fraction form
    3,234.25/4,463.27 = 1,762.25/x
  3. Step 3: Cross multiply
    3,234.25x = 4,463.27 × 1,762.25
  4. Step 4: Simplify right side
    3,234.25x = 7,865,397.56
  5. Step 5: Solve for x
    x = 7,865,397.56/3,234.25
  6. Step 6: Final answer
    x = 2,431.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.