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Finding the Fourth Proportional to 2,234.71, 3,351.09 and 985.27

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Solution

The fourth proportional to 2,234.71, 3,351.09 and 985.27 is: 1,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.71 : 3,351.09 = 985.27 : x
  2. Step 2: Convert to fraction form
    2,234.71/3,351.09 = 985.27/x
  3. Step 3: Cross multiply
    2,234.71x = 3,351.09 × 985.27
  4. Step 4: Simplify right side
    2,234.71x = 3,301,728.44
  5. Step 5: Solve for x
    x = 3,301,728.44/2,234.71
  6. Step 6: Final answer
    x = 1,477.48

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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.