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Finding the Fourth Proportional to 3,363.66, 4,642.40 and 1,947.11

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Solution

The fourth proportional to 3,363.66, 4,642.40 and 1,947.11 is: 2,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.66 : 4,642.40 = 1,947.11 : x
  2. Step 2: Convert to fraction form
    3,363.66/4,642.40 = 1,947.11/x
  3. Step 3: Cross multiply
    3,363.66x = 4,642.40 × 1,947.11
  4. Step 4: Simplify right side
    3,363.66x = 9,039,245.12
  5. Step 5: Solve for x
    x = 9,039,245.12/3,363.66
  6. Step 6: Final answer
    x = 2,687.32

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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.