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Finding the Fourth Proportional to 2,821.44, 4,202.16 and 2,671.68

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Solution

The fourth proportional to 2,821.44, 4,202.16 and 2,671.68 is: 3,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.44 : 4,202.16 = 2,671.68 : x
  2. Step 2: Convert to fraction form
    2,821.44/4,202.16 = 2,671.68/x
  3. Step 3: Cross multiply
    2,821.44x = 4,202.16 × 2,671.68
  4. Step 4: Simplify right side
    2,821.44x = 11,226,826.83
  5. Step 5: Solve for x
    x = 11,226,826.83/2,821.44
  6. Step 6: Final answer
    x = 3,979.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.