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Finding the Fourth Proportional to 2,643.64, 3,654.72 and 2,618.73

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Solution

The fourth proportional to 2,643.64, 3,654.72 and 2,618.73 is: 3,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.64 : 3,654.72 = 2,618.73 : x
  2. Step 2: Convert to fraction form
    2,643.64/3,654.72 = 2,618.73/x
  3. Step 3: Cross multiply
    2,643.64x = 3,654.72 × 2,618.73
  4. Step 4: Simplify right side
    2,643.64x = 9,570,724.91
  5. Step 5: Solve for x
    x = 9,570,724.91/2,643.64
  6. Step 6: Final answer
    x = 3,620.29

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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.