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Finding the Fourth Proportional to 2,232.96, 3,081.68 and 1,919.24

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Solution

The fourth proportional to 2,232.96, 3,081.68 and 1,919.24 is: 2,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.96 : 3,081.68 = 1,919.24 : x
  2. Step 2: Convert to fraction form
    2,232.96/3,081.68 = 1,919.24/x
  3. Step 3: Cross multiply
    2,232.96x = 3,081.68 × 1,919.24
  4. Step 4: Simplify right side
    2,232.96x = 5,914,483.52
  5. Step 5: Solve for x
    x = 5,914,483.52/2,232.96
  6. Step 6: Final answer
    x = 2,648.72

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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.