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Finding the Fourth Proportional to 2,643.88, 3,967.14 and 1,085

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Solution

The fourth proportional to 2,643.88, 3,967.14 and 1,085 is: 1,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.88 : 3,967.14 = 1,085 : x
  2. Step 2: Convert to fraction form
    2,643.88/3,967.14 = 1,085/x
  3. Step 3: Cross multiply
    2,643.88x = 3,967.14 × 1,085
  4. Step 4: Simplify right side
    2,643.88x = 4,304,346.90
  5. Step 5: Solve for x
    x = 4,304,346.90/2,643.88
  6. Step 6: Final answer
    x = 1,628.04

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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.