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Finding the Fourth Proportional to 2,082.58, 2,867.40 and 1,767.22

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Solution

The fourth proportional to 2,082.58, 2,867.40 and 1,767.22 is: 2,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.58 : 2,867.40 = 1,767.22 : x
  2. Step 2: Convert to fraction form
    2,082.58/2,867.40 = 1,767.22/x
  3. Step 3: Cross multiply
    2,082.58x = 2,867.40 × 1,767.22
  4. Step 4: Simplify right side
    2,082.58x = 5,067,319.46
  5. Step 5: Solve for x
    x = 5,067,319.46/2,082.58
  6. Step 6: Final answer
    x = 2,433.20

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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.