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Finding the Fourth Proportional to 2,691.14, 3,713.98 and 1,643.40

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Solution

The fourth proportional to 2,691.14, 3,713.98 and 1,643.40 is: 2,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.14 : 3,713.98 = 1,643.40 : x
  2. Step 2: Convert to fraction form
    2,691.14/3,713.98 = 1,643.40/x
  3. Step 3: Cross multiply
    2,691.14x = 3,713.98 × 1,643.40
  4. Step 4: Simplify right side
    2,691.14x = 6,103,554.73
  5. Step 5: Solve for x
    x = 6,103,554.73/2,691.14
  6. Step 6: Final answer
    x = 2,268.02

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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.