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Finding the Fourth Proportional to 1,651.39, 2,278.87 and 943.27

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Solution

The fourth proportional to 1,651.39, 2,278.87 and 943.27 is: 1,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.39 : 2,278.87 = 943.27 : x
  2. Step 2: Convert to fraction form
    1,651.39/2,278.87 = 943.27/x
  3. Step 3: Cross multiply
    1,651.39x = 2,278.87 × 943.27
  4. Step 4: Simplify right side
    1,651.39x = 2,149,581.65
  5. Step 5: Solve for x
    x = 2,149,581.65/1,651.39
  6. Step 6: Final answer
    x = 1,301.68

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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.