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Finding the Fourth Proportional to 1,863.42, 2,794.41 and 767.46

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Solution

The fourth proportional to 1,863.42, 2,794.41 and 767.46 is: 1,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.42 : 2,794.41 = 767.46 : x
  2. Step 2: Convert to fraction form
    1,863.42/2,794.41 = 767.46/x
  3. Step 3: Cross multiply
    1,863.42x = 2,794.41 × 767.46
  4. Step 4: Simplify right side
    1,863.42x = 2,144,597.90
  5. Step 5: Solve for x
    x = 2,144,597.90/1,863.42
  6. Step 6: Final answer
    x = 1,150.89

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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.