Home / 2,577.18-3,866.05-821.78

Finding the Fourth Proportional to 2,577.18, 3,866.05 and 821.78

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Solution

The fourth proportional to 2,577.18, 3,866.05 and 821.78 is: 1,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.18 : 3,866.05 = 821.78 : x
  2. Step 2: Convert to fraction form
    2,577.18/3,866.05 = 821.78/x
  3. Step 3: Cross multiply
    2,577.18x = 3,866.05 × 821.78
  4. Step 4: Simplify right side
    2,577.18x = 3,177,042.57
  5. Step 5: Solve for x
    x = 3,177,042.57/2,577.18
  6. Step 6: Final answer
    x = 1,232.76

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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.