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Finding the Fourth Proportional to 3,280.96, 4,922.27 and 1,089.70

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Solution

The fourth proportional to 3,280.96, 4,922.27 and 1,089.70 is: 1,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.96 : 4,922.27 = 1,089.70 : x
  2. Step 2: Convert to fraction form
    3,280.96/4,922.27 = 1,089.70/x
  3. Step 3: Cross multiply
    3,280.96x = 4,922.27 × 1,089.70
  4. Step 4: Simplify right side
    3,280.96x = 5,363,767.56
  5. Step 5: Solve for x
    x = 5,363,767.56/3,280.96
  6. Step 6: Final answer
    x = 1,634.82

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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.