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Finding the Fourth Proportional to 3,234.40, 4,857.36 and 2,262.40

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Solution

The fourth proportional to 3,234.40, 4,857.36 and 2,262.40 is: 3,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.40 : 4,857.36 = 2,262.40 : x
  2. Step 2: Convert to fraction form
    3,234.40/4,857.36 = 2,262.40/x
  3. Step 3: Cross multiply
    3,234.40x = 4,857.36 × 2,262.40
  4. Step 4: Simplify right side
    3,234.40x = 10,989,291.26
  5. Step 5: Solve for x
    x = 10,989,291.26/3,234.40
  6. Step 6: Final answer
    x = 3,397.63

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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.