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Finding the Fourth Proportional to 2,642.90, 3,964.12 and 1,082.45

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Solution

The fourth proportional to 2,642.90, 3,964.12 and 1,082.45 is: 1,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.90 : 3,964.12 = 1,082.45 : x
  2. Step 2: Convert to fraction form
    2,642.90/3,964.12 = 1,082.45/x
  3. Step 3: Cross multiply
    2,642.90x = 3,964.12 × 1,082.45
  4. Step 4: Simplify right side
    2,642.90x = 4,290,968.90
  5. Step 5: Solve for x
    x = 4,290,968.90/2,642.90
  6. Step 6: Final answer
    x = 1,623.59

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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.