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Finding the Fourth Proportional to 2,875.97, 3,968.96 and 1,617.05

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Solution

The fourth proportional to 2,875.97, 3,968.96 and 1,617.05 is: 2,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.97 : 3,968.96 = 1,617.05 : x
  2. Step 2: Convert to fraction form
    2,875.97/3,968.96 = 1,617.05/x
  3. Step 3: Cross multiply
    2,875.97x = 3,968.96 × 1,617.05
  4. Step 4: Simplify right side
    2,875.97x = 6,418,020.73
  5. Step 5: Solve for x
    x = 6,418,020.73/2,875.97
  6. Step 6: Final answer
    x = 2,231.60

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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.