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Finding the Fourth Proportional to 2,671.88, 3,976.09 and 2,568.20

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Solution

The fourth proportional to 2,671.88, 3,976.09 and 2,568.20 is: 3,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.88 : 3,976.09 = 2,568.20 : x
  2. Step 2: Convert to fraction form
    2,671.88/3,976.09 = 2,568.20/x
  3. Step 3: Cross multiply
    2,671.88x = 3,976.09 × 2,568.20
  4. Step 4: Simplify right side
    2,671.88x = 10,211,394.34
  5. Step 5: Solve for x
    x = 10,211,394.34/2,671.88
  6. Step 6: Final answer
    x = 3,821.80

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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.