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Finding the Fourth Proportional to 2,217.86, 3,326.74 and 574.40

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Solution

The fourth proportional to 2,217.86, 3,326.74 and 574.40 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.86 : 3,326.74 = 574.40 : x
  2. Step 2: Convert to fraction form
    2,217.86/3,326.74 = 574.40/x
  3. Step 3: Cross multiply
    2,217.86x = 3,326.74 × 574.40
  4. Step 4: Simplify right side
    2,217.86x = 1,910,879.46
  5. Step 5: Solve for x
    x = 1,910,879.46/2,217.86
  6. Step 6: Final answer
    x = 861.59

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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.