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Finding the Fourth Proportional to 2,821.88, 3,884.46 and 2,443.62

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Solution

The fourth proportional to 2,821.88, 3,884.46 and 2,443.62 is: 3,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.88 : 3,884.46 = 2,443.62 : x
  2. Step 2: Convert to fraction form
    2,821.88/3,884.46 = 2,443.62/x
  3. Step 3: Cross multiply
    2,821.88x = 3,884.46 × 2,443.62
  4. Step 4: Simplify right side
    2,821.88x = 9,492,144.15
  5. Step 5: Solve for x
    x = 9,492,144.15/2,821.88
  6. Step 6: Final answer
    x = 3,363.77

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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.