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Finding the Fourth Proportional to 2,155.84, 3,231.23 and 2,132.75

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Solution

The fourth proportional to 2,155.84, 3,231.23 and 2,132.75 is: 3,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.84 : 3,231.23 = 2,132.75 : x
  2. Step 2: Convert to fraction form
    2,155.84/3,231.23 = 2,132.75/x
  3. Step 3: Cross multiply
    2,155.84x = 3,231.23 × 2,132.75
  4. Step 4: Simplify right side
    2,155.84x = 6,891,403.20
  5. Step 5: Solve for x
    x = 6,891,403.20/2,155.84
  6. Step 6: Final answer
    x = 3,196.62

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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.