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Finding the Fourth Proportional to 2,321.34, 3,479.10 and 1,659.78

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Solution

The fourth proportional to 2,321.34, 3,479.10 and 1,659.78 is: 2,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.34 : 3,479.10 = 1,659.78 : x
  2. Step 2: Convert to fraction form
    2,321.34/3,479.10 = 1,659.78/x
  3. Step 3: Cross multiply
    2,321.34x = 3,479.10 × 1,659.78
  4. Step 4: Simplify right side
    2,321.34x = 5,774,540.60
  5. Step 5: Solve for x
    x = 5,774,540.60/2,321.34
  6. Step 6: Final answer
    x = 2,487.59

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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.