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Finding the Fourth Proportional to 2,111.15, 3,167.86 and 879.41

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Solution

The fourth proportional to 2,111.15, 3,167.86 and 879.41 is: 1,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.15 : 3,167.86 = 879.41 : x
  2. Step 2: Convert to fraction form
    2,111.15/3,167.86 = 879.41/x
  3. Step 3: Cross multiply
    2,111.15x = 3,167.86 × 879.41
  4. Step 4: Simplify right side
    2,111.15x = 2,785,847.76
  5. Step 5: Solve for x
    x = 2,785,847.76/2,111.15
  6. Step 6: Final answer
    x = 1,319.59

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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.