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Finding the Fourth Proportional to 2,217.83, 3,325.82 and 657.27

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Solution

The fourth proportional to 2,217.83, 3,325.82 and 657.27 is: 985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.83 : 3,325.82 = 657.27 : x
  2. Step 2: Convert to fraction form
    2,217.83/3,325.82 = 657.27/x
  3. Step 3: Cross multiply
    2,217.83x = 3,325.82 × 657.27
  4. Step 4: Simplify right side
    2,217.83x = 2,185,958.43
  5. Step 5: Solve for x
    x = 2,185,958.43/2,217.83
  6. Step 6: Final answer
    x = 985.63

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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.