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Finding the Fourth Proportional to 2,681.64, 4,022.46 and 2,643.44

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Solution

The fourth proportional to 2,681.64, 4,022.46 and 2,643.44 is: 3,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.64 : 4,022.46 = 2,643.44 : x
  2. Step 2: Convert to fraction form
    2,681.64/4,022.46 = 2,643.44/x
  3. Step 3: Cross multiply
    2,681.64x = 4,022.46 × 2,643.44
  4. Step 4: Simplify right side
    2,681.64x = 10,633,111.55
  5. Step 5: Solve for x
    x = 10,633,111.55/2,681.64
  6. Step 6: Final answer
    x = 3,965.15

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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.