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Finding the Fourth Proportional to 2,433.06, 3,665.88 and 2,202.21

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Solution

The fourth proportional to 2,433.06, 3,665.88 and 2,202.21 is: 3,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.06 : 3,665.88 = 2,202.21 : x
  2. Step 2: Convert to fraction form
    2,433.06/3,665.88 = 2,202.21/x
  3. Step 3: Cross multiply
    2,433.06x = 3,665.88 × 2,202.21
  4. Step 4: Simplify right side
    2,433.06x = 8,073,037.59
  5. Step 5: Solve for x
    x = 8,073,037.59/2,433.06
  6. Step 6: Final answer
    x = 3,318.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.