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Finding the Fourth Proportional to 2,183.52, 3,275.28 and 867.68

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Solution

The fourth proportional to 2,183.52, 3,275.28 and 867.68 is: 1,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.52 : 3,275.28 = 867.68 : x
  2. Step 2: Convert to fraction form
    2,183.52/3,275.28 = 867.68/x
  3. Step 3: Cross multiply
    2,183.52x = 3,275.28 × 867.68
  4. Step 4: Simplify right side
    2,183.52x = 2,841,894.95
  5. Step 5: Solve for x
    x = 2,841,894.95/2,183.52
  6. Step 6: Final answer
    x = 1,301.52

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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.