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Finding the Fourth Proportional to 1,449.82, 2,171.79 and 1,157.81

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Solution

The fourth proportional to 1,449.82, 2,171.79 and 1,157.81 is: 1,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.82 : 2,171.79 = 1,157.81 : x
  2. Step 2: Convert to fraction form
    1,449.82/2,171.79 = 1,157.81/x
  3. Step 3: Cross multiply
    1,449.82x = 2,171.79 × 1,157.81
  4. Step 4: Simplify right side
    1,449.82x = 2,514,514.39
  5. Step 5: Solve for x
    x = 2,514,514.39/1,449.82
  6. Step 6: Final answer
    x = 1,734.37

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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.