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Finding the Fourth Proportional to 2,760.66, 4,143.07 and 1,462.42

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Solution

The fourth proportional to 2,760.66, 4,143.07 and 1,462.42 is: 2,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.66 : 4,143.07 = 1,462.42 : x
  2. Step 2: Convert to fraction form
    2,760.66/4,143.07 = 1,462.42/x
  3. Step 3: Cross multiply
    2,760.66x = 4,143.07 × 1,462.42
  4. Step 4: Simplify right side
    2,760.66x = 6,058,908.43
  5. Step 5: Solve for x
    x = 6,058,908.43/2,760.66
  6. Step 6: Final answer
    x = 2,194.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.