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Finding the Fourth Proportional to 2,155.72, 3,231.66 and 984.52

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Solution

The fourth proportional to 2,155.72, 3,231.66 and 984.52 is: 1,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.72 : 3,231.66 = 984.52 : x
  2. Step 2: Convert to fraction form
    2,155.72/3,231.66 = 984.52/x
  3. Step 3: Cross multiply
    2,155.72x = 3,231.66 × 984.52
  4. Step 4: Simplify right side
    2,155.72x = 3,181,633.90
  5. Step 5: Solve for x
    x = 3,181,633.90/2,155.72
  6. Step 6: Final answer
    x = 1,475.90

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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.