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Finding the Fourth Proportional to 2,267.86, 3,398.57 and 950.19

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Solution

The fourth proportional to 2,267.86, 3,398.57 and 950.19 is: 1,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.86 : 3,398.57 = 950.19 : x
  2. Step 2: Convert to fraction form
    2,267.86/3,398.57 = 950.19/x
  3. Step 3: Cross multiply
    2,267.86x = 3,398.57 × 950.19
  4. Step 4: Simplify right side
    2,267.86x = 3,229,287.23
  5. Step 5: Solve for x
    x = 3,229,287.23/2,267.86
  6. Step 6: Final answer
    x = 1,423.94

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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.