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Finding the Fourth Proportional to 2,891.82, 3,991.23 and 2,269.74

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Solution

The fourth proportional to 2,891.82, 3,991.23 and 2,269.74 is: 3,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.82 : 3,991.23 = 2,269.74 : x
  2. Step 2: Convert to fraction form
    2,891.82/3,991.23 = 2,269.74/x
  3. Step 3: Cross multiply
    2,891.82x = 3,991.23 × 2,269.74
  4. Step 4: Simplify right side
    2,891.82x = 9,059,054.38
  5. Step 5: Solve for x
    x = 9,059,054.38/2,891.82
  6. Step 6: Final answer
    x = 3,132.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.