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Finding the Fourth Proportional to 3,161.27, 4,741.67 and 969.81

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Solution

The fourth proportional to 3,161.27, 4,741.67 and 969.81 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.27 : 4,741.67 = 969.81 : x
  2. Step 2: Convert to fraction form
    3,161.27/4,741.67 = 969.81/x
  3. Step 3: Cross multiply
    3,161.27x = 4,741.67 × 969.81
  4. Step 4: Simplify right side
    3,161.27x = 4,598,514.13
  5. Step 5: Solve for x
    x = 4,598,514.13/3,161.27
  6. Step 6: Final answer
    x = 1,454.64

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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.