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Finding the Fourth Proportional to 2,061.46, 3,091.46 and 891.41

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Solution

The fourth proportional to 2,061.46, 3,091.46 and 891.41 is: 1,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.46 : 3,091.46 = 891.41 : x
  2. Step 2: Convert to fraction form
    2,061.46/3,091.46 = 891.41/x
  3. Step 3: Cross multiply
    2,061.46x = 3,091.46 × 891.41
  4. Step 4: Simplify right side
    2,061.46x = 2,755,758.36
  5. Step 5: Solve for x
    x = 2,755,758.36/2,061.46
  6. Step 6: Final answer
    x = 1,336.80

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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.