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Finding the Fourth Proportional to 2,439.46, 3,659.34 and 795.34

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Solution

The fourth proportional to 2,439.46, 3,659.34 and 795.34 is: 1,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.46 : 3,659.34 = 795.34 : x
  2. Step 2: Convert to fraction form
    2,439.46/3,659.34 = 795.34/x
  3. Step 3: Cross multiply
    2,439.46x = 3,659.34 × 795.34
  4. Step 4: Simplify right side
    2,439.46x = 2,910,419.48
  5. Step 5: Solve for x
    x = 2,910,419.48/2,439.46
  6. Step 6: Final answer
    x = 1,193.06

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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.