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Finding the Fourth Proportional to 2,216.78, 3,324.91 and 573.19

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Solution

The fourth proportional to 2,216.78, 3,324.91 and 573.19 is: 859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.78 : 3,324.91 = 573.19 : x
  2. Step 2: Convert to fraction form
    2,216.78/3,324.91 = 573.19/x
  3. Step 3: Cross multiply
    2,216.78x = 3,324.91 × 573.19
  4. Step 4: Simplify right side
    2,216.78x = 1,905,813.58
  5. Step 5: Solve for x
    x = 1,905,813.58/2,216.78
  6. Step 6: Final answer
    x = 859.72

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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.