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Finding the Fourth Proportional to 3,363.50, 4,641.63 and 1,966.25

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Solution

The fourth proportional to 3,363.50, 4,641.63 and 1,966.25 is: 2,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.50 : 4,641.63 = 1,966.25 : x
  2. Step 2: Convert to fraction form
    3,363.50/4,641.63 = 1,966.25/x
  3. Step 3: Cross multiply
    3,363.50x = 4,641.63 × 1,966.25
  4. Step 4: Simplify right side
    3,363.50x = 9,126,604.99
  5. Step 5: Solve for x
    x = 9,126,604.99/3,363.50
  6. Step 6: Final answer
    x = 2,713.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.