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Finding the Fourth Proportional to 3,232.16, 4,454.16 and 2,182.40

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Solution

The fourth proportional to 3,232.16, 4,454.16 and 2,182.40 is: 3,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.16 : 4,454.16 = 2,182.40 : x
  2. Step 2: Convert to fraction form
    3,232.16/4,454.16 = 2,182.40/x
  3. Step 3: Cross multiply
    3,232.16x = 4,454.16 × 2,182.40
  4. Step 4: Simplify right side
    3,232.16x = 9,720,758.78
  5. Step 5: Solve for x
    x = 9,720,758.78/3,232.16
  6. Step 6: Final answer
    x = 3,007.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.