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Finding the Fourth Proportional to 2,878.92, 4,322.33 and 1,493.21

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Solution

The fourth proportional to 2,878.92, 4,322.33 and 1,493.21 is: 2,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.92 : 4,322.33 = 1,493.21 : x
  2. Step 2: Convert to fraction form
    2,878.92/4,322.33 = 1,493.21/x
  3. Step 3: Cross multiply
    2,878.92x = 4,322.33 × 1,493.21
  4. Step 4: Simplify right side
    2,878.92x = 6,454,117.30
  5. Step 5: Solve for x
    x = 6,454,117.30/2,878.92
  6. Step 6: Final answer
    x = 2,241.85

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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.