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Finding the Fourth Proportional to 3,281.96, 4,921.12 and 1,089.49

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Solution

The fourth proportional to 3,281.96, 4,921.12 and 1,089.49 is: 1,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.96 : 4,921.12 = 1,089.49 : x
  2. Step 2: Convert to fraction form
    3,281.96/4,921.12 = 1,089.49/x
  3. Step 3: Cross multiply
    3,281.96x = 4,921.12 × 1,089.49
  4. Step 4: Simplify right side
    3,281.96x = 5,361,511.03
  5. Step 5: Solve for x
    x = 5,361,511.03/3,281.96
  6. Step 6: Final answer
    x = 1,633.63

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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.