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Finding the Fourth Proportional to 6,142.91, 9,215.81 and 1,760.25

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Solution

The fourth proportional to 6,142.91, 9,215.81 and 1,760.25 is: 2,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.91 : 9,215.81 = 1,760.25 : x
  2. Step 2: Convert to fraction form
    6,142.91/9,215.81 = 1,760.25/x
  3. Step 3: Cross multiply
    6,142.91x = 9,215.81 × 1,760.25
  4. Step 4: Simplify right side
    6,142.91x = 16,222,155.31
  5. Step 5: Solve for x
    x = 16,222,155.31/6,142.91
  6. Step 6: Final answer
    x = 2,640.79

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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.