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Finding the Fourth Proportional to 2,439.24, 3,659.24 and 795.41

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Solution

The fourth proportional to 2,439.24, 3,659.24 and 795.41 is: 1,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.24 : 3,659.24 = 795.41 : x
  2. Step 2: Convert to fraction form
    2,439.24/3,659.24 = 795.41/x
  3. Step 3: Cross multiply
    2,439.24x = 3,659.24 × 795.41
  4. Step 4: Simplify right side
    2,439.24x = 2,910,573.82
  5. Step 5: Solve for x
    x = 2,910,573.82/2,439.24
  6. Step 6: Final answer
    x = 1,193.23

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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.