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Finding the Fourth Proportional to 1,965.44, 2,947.20 and 1,099.52

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Solution

The fourth proportional to 1,965.44, 2,947.20 and 1,099.52 is: 1,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.44 : 2,947.20 = 1,099.52 : x
  2. Step 2: Convert to fraction form
    1,965.44/2,947.20 = 1,099.52/x
  3. Step 3: Cross multiply
    1,965.44x = 2,947.20 × 1,099.52
  4. Step 4: Simplify right side
    1,965.44x = 3,240,505.34
  5. Step 5: Solve for x
    x = 3,240,505.34/1,965.44
  6. Step 6: Final answer
    x = 1,648.74

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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.