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Finding the Fourth Proportional to 2,189.16, 3,280.86 and 889.92

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Solution

The fourth proportional to 2,189.16, 3,280.86 and 889.92 is: 1,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.16 : 3,280.86 = 889.92 : x
  2. Step 2: Convert to fraction form
    2,189.16/3,280.86 = 889.92/x
  3. Step 3: Cross multiply
    2,189.16x = 3,280.86 × 889.92
  4. Step 4: Simplify right side
    2,189.16x = 2,919,702.93
  5. Step 5: Solve for x
    x = 2,919,702.93/2,189.16
  6. Step 6: Final answer
    x = 1,333.71

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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.