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Finding the Fourth Proportional to 2,217.17, 3,325.74 and 573.71

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Solution

The fourth proportional to 2,217.17, 3,325.74 and 573.71 is: 860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.17 : 3,325.74 = 573.71 : x
  2. Step 2: Convert to fraction form
    2,217.17/3,325.74 = 573.71/x
  3. Step 3: Cross multiply
    2,217.17x = 3,325.74 × 573.71
  4. Step 4: Simplify right side
    2,217.17x = 1,907,993.67
  5. Step 5: Solve for x
    x = 1,907,993.67/2,217.17
  6. Step 6: Final answer
    x = 860.56

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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.