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Finding the Fourth Proportional to 2,234.28, 3,351.72 and 848.13

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Solution

The fourth proportional to 2,234.28, 3,351.72 and 848.13 is: 1,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.28 : 3,351.72 = 848.13 : x
  2. Step 2: Convert to fraction form
    2,234.28/3,351.72 = 848.13/x
  3. Step 3: Cross multiply
    2,234.28x = 3,351.72 × 848.13
  4. Step 4: Simplify right side
    2,234.28x = 2,842,694.28
  5. Step 5: Solve for x
    x = 2,842,694.28/2,234.28
  6. Step 6: Final answer
    x = 1,272.31

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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.