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Finding the Fourth Proportional to 2,217.29, 3,326.12 and 573.86

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Solution

The fourth proportional to 2,217.29, 3,326.12 and 573.86 is: 860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.29 : 3,326.12 = 573.86 : x
  2. Step 2: Convert to fraction form
    2,217.29/3,326.12 = 573.86/x
  3. Step 3: Cross multiply
    2,217.29x = 3,326.12 × 573.86
  4. Step 4: Simplify right side
    2,217.29x = 1,908,727.22
  5. Step 5: Solve for x
    x = 1,908,727.22/2,217.29
  6. Step 6: Final answer
    x = 860.84

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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.