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Finding the Fourth Proportional to 2,294.75, 3,143.03 and 2,160.11

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Solution

The fourth proportional to 2,294.75, 3,143.03 and 2,160.11 is: 2,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.75 : 3,143.03 = 2,160.11 : x
  2. Step 2: Convert to fraction form
    2,294.75/3,143.03 = 2,160.11/x
  3. Step 3: Cross multiply
    2,294.75x = 3,143.03 × 2,160.11
  4. Step 4: Simplify right side
    2,294.75x = 6,789,282.06
  5. Step 5: Solve for x
    x = 6,789,282.06/2,294.75
  6. Step 6: Final answer
    x = 2,958.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.