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Finding the Fourth Proportional to 2,691.79, 4,037.69 and 843.07

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Solution

The fourth proportional to 2,691.79, 4,037.69 and 843.07 is: 1,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.79 : 4,037.69 = 843.07 : x
  2. Step 2: Convert to fraction form
    2,691.79/4,037.69 = 843.07/x
  3. Step 3: Cross multiply
    2,691.79x = 4,037.69 × 843.07
  4. Step 4: Simplify right side
    2,691.79x = 3,404,055.31
  5. Step 5: Solve for x
    x = 3,404,055.31/2,691.79
  6. Step 6: Final answer
    x = 1,264.61

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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.