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Finding the Fourth Proportional to 2,334.81, 3,212.42 and 2,040.78

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Solution

The fourth proportional to 2,334.81, 3,212.42 and 2,040.78 is: 2,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.81 : 3,212.42 = 2,040.78 : x
  2. Step 2: Convert to fraction form
    2,334.81/3,212.42 = 2,040.78/x
  3. Step 3: Cross multiply
    2,334.81x = 3,212.42 × 2,040.78
  4. Step 4: Simplify right side
    2,334.81x = 6,555,832.28
  5. Step 5: Solve for x
    x = 6,555,832.28/2,334.81
  6. Step 6: Final answer
    x = 2,807.87

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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.