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Finding the Fourth Proportional to 2,873.13, 3,966.42 and 2,233.65

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Solution

The fourth proportional to 2,873.13, 3,966.42 and 2,233.65 is: 3,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.13 : 3,966.42 = 2,233.65 : x
  2. Step 2: Convert to fraction form
    2,873.13/3,966.42 = 2,233.65/x
  3. Step 3: Cross multiply
    2,873.13x = 3,966.42 × 2,233.65
  4. Step 4: Simplify right side
    2,873.13x = 8,859,594.03
  5. Step 5: Solve for x
    x = 8,859,594.03/2,873.13
  6. Step 6: Final answer
    x = 3,083.60

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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.