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Finding the Fourth Proportional to 2,321.14, 3,481.72 and 783.22

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Solution

The fourth proportional to 2,321.14, 3,481.72 and 783.22 is: 1,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.14 : 3,481.72 = 783.22 : x
  2. Step 2: Convert to fraction form
    2,321.14/3,481.72 = 783.22/x
  3. Step 3: Cross multiply
    2,321.14x = 3,481.72 × 783.22
  4. Step 4: Simplify right side
    2,321.14x = 2,726,952.74
  5. Step 5: Solve for x
    x = 2,726,952.74/2,321.14
  6. Step 6: Final answer
    x = 1,174.83

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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.