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Finding the Fourth Proportional to 3,488.85, 5,233.05 and 1,641.33

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Solution

The fourth proportional to 3,488.85, 5,233.05 and 1,641.33 is: 2,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.85 : 5,233.05 = 1,641.33 : x
  2. Step 2: Convert to fraction form
    3,488.85/5,233.05 = 1,641.33/x
  3. Step 3: Cross multiply
    3,488.85x = 5,233.05 × 1,641.33
  4. Step 4: Simplify right side
    3,488.85x = 8,589,161.96
  5. Step 5: Solve for x
    x = 8,589,161.96/3,488.85
  6. Step 6: Final answer
    x = 2,461.89

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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.