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Finding the Fourth Proportional to 2,216.97, 3,318.30 and 1,604.88

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Solution

The fourth proportional to 2,216.97, 3,318.30 and 1,604.88 is: 2,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.97 : 3,318.30 = 1,604.88 : x
  2. Step 2: Convert to fraction form
    2,216.97/3,318.30 = 1,604.88/x
  3. Step 3: Cross multiply
    2,216.97x = 3,318.30 × 1,604.88
  4. Step 4: Simplify right side
    2,216.97x = 5,325,473.30
  5. Step 5: Solve for x
    x = 5,325,473.30/2,216.97
  6. Step 6: Final answer
    x = 2,402.14

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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.