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Finding the Fourth Proportional to 2,642.90, 3,964.10 and 1,082.96

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Solution

The fourth proportional to 2,642.90, 3,964.10 and 1,082.96 is: 1,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.90 : 3,964.10 = 1,082.96 : x
  2. Step 2: Convert to fraction form
    2,642.90/3,964.10 = 1,082.96/x
  3. Step 3: Cross multiply
    2,642.90x = 3,964.10 × 1,082.96
  4. Step 4: Simplify right side
    2,642.90x = 4,292,961.74
  5. Step 5: Solve for x
    x = 4,292,961.74/2,642.90
  6. Step 6: Final answer
    x = 1,624.34

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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.