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Finding the Fourth Proportional to 2,216.36, 3,324.50 and 572.90

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Solution

The fourth proportional to 2,216.36, 3,324.50 and 572.90 is: 859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.36 : 3,324.50 = 572.90 : x
  2. Step 2: Convert to fraction form
    2,216.36/3,324.50 = 572.90/x
  3. Step 3: Cross multiply
    2,216.36x = 3,324.50 × 572.90
  4. Step 4: Simplify right side
    2,216.36x = 1,904,586.56
  5. Step 5: Solve for x
    x = 1,904,586.56/2,216.36
  6. Step 6: Final answer
    x = 859.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.