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Finding the Fourth Proportional to 2,159.83, 3,238.08 and 843.38

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Solution

The fourth proportional to 2,159.83, 3,238.08 and 843.38 is: 1,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.83 : 3,238.08 = 843.38 : x
  2. Step 2: Convert to fraction form
    2,159.83/3,238.08 = 843.38/x
  3. Step 3: Cross multiply
    2,159.83x = 3,238.08 × 843.38
  4. Step 4: Simplify right side
    2,159.83x = 2,730,924.70
  5. Step 5: Solve for x
    x = 2,730,924.70/2,159.83
  6. Step 6: Final answer
    x = 1,264.42

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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.