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Finding the Fourth Proportional to 2,217.96, 3,326.02 and 757.23

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Solution

The fourth proportional to 2,217.96, 3,326.02 and 757.23 is: 1,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.96 : 3,326.02 = 757.23 : x
  2. Step 2: Convert to fraction form
    2,217.96/3,326.02 = 757.23/x
  3. Step 3: Cross multiply
    2,217.96x = 3,326.02 × 757.23
  4. Step 4: Simplify right side
    2,217.96x = 2,518,562.12
  5. Step 5: Solve for x
    x = 2,518,562.12/2,217.96
  6. Step 6: Final answer
    x = 1,135.53

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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.