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Finding the Fourth Proportional to 2,331.92, 3,493.77 and 2,077.68

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Solution

The fourth proportional to 2,331.92, 3,493.77 and 2,077.68 is: 3,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.92 : 3,493.77 = 2,077.68 : x
  2. Step 2: Convert to fraction form
    2,331.92/3,493.77 = 2,077.68/x
  3. Step 3: Cross multiply
    2,331.92x = 3,493.77 × 2,077.68
  4. Step 4: Simplify right side
    2,331.92x = 7,258,941.36
  5. Step 5: Solve for x
    x = 7,258,941.36/2,331.92
  6. Step 6: Final answer
    x = 3,112.86

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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.