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Finding the Fourth Proportional to 2,182.73, 3,267.65 and 1,440.97

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Solution

The fourth proportional to 2,182.73, 3,267.65 and 1,440.97 is: 2,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.73 : 3,267.65 = 1,440.97 : x
  2. Step 2: Convert to fraction form
    2,182.73/3,267.65 = 1,440.97/x
  3. Step 3: Cross multiply
    2,182.73x = 3,267.65 × 1,440.97
  4. Step 4: Simplify right side
    2,182.73x = 4,708,581.05
  5. Step 5: Solve for x
    x = 4,708,581.05/2,182.73
  6. Step 6: Final answer
    x = 2,157.20

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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.