Home / 2,055.18-3,082.77-821.73

Finding the Fourth Proportional to 2,055.18, 3,082.77 and 821.73

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Solution

The fourth proportional to 2,055.18, 3,082.77 and 821.73 is: 1,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.18 : 3,082.77 = 821.73 : x
  2. Step 2: Convert to fraction form
    2,055.18/3,082.77 = 821.73/x
  3. Step 3: Cross multiply
    2,055.18x = 3,082.77 × 821.73
  4. Step 4: Simplify right side
    2,055.18x = 2,533,197.20
  5. Step 5: Solve for x
    x = 2,533,197.20/2,055.18
  6. Step 6: Final answer
    x = 1,232.59

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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.