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Finding the Fourth Proportional to 2,061.38, 3,091.13 and 890.83

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Solution

The fourth proportional to 2,061.38, 3,091.13 and 890.83 is: 1,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.38 : 3,091.13 = 890.83 : x
  2. Step 2: Convert to fraction form
    2,061.38/3,091.13 = 890.83/x
  3. Step 3: Cross multiply
    2,061.38x = 3,091.13 × 890.83
  4. Step 4: Simplify right side
    2,061.38x = 2,753,671.34
  5. Step 5: Solve for x
    x = 2,753,671.34/2,061.38
  6. Step 6: Final answer
    x = 1,335.84

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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.