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Finding the Fourth Proportional to 2,876.70, 3,966.19 and 2,205.28

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Solution

The fourth proportional to 2,876.70, 3,966.19 and 2,205.28 is: 3,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.70 : 3,966.19 = 2,205.28 : x
  2. Step 2: Convert to fraction form
    2,876.70/3,966.19 = 2,205.28/x
  3. Step 3: Cross multiply
    2,876.70x = 3,966.19 × 2,205.28
  4. Step 4: Simplify right side
    2,876.70x = 8,746,559.48
  5. Step 5: Solve for x
    x = 8,746,559.48/2,876.70
  6. Step 6: Final answer
    x = 3,040.48

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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.