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Finding the Fourth Proportional to 2,321.34, 3,481.86 and 761.02

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Solution

The fourth proportional to 2,321.34, 3,481.86 and 761.02 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.34 : 3,481.86 = 761.02 : x
  2. Step 2: Convert to fraction form
    2,321.34/3,481.86 = 761.02/x
  3. Step 3: Cross multiply
    2,321.34x = 3,481.86 × 761.02
  4. Step 4: Simplify right side
    2,321.34x = 2,649,765.10
  5. Step 5: Solve for x
    x = 2,649,765.10/2,321.34
  6. Step 6: Final answer
    x = 1,141.48

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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.