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Finding the Fourth Proportional to 2,159.98, 3,238.04 and 843.43

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Solution

The fourth proportional to 2,159.98, 3,238.04 and 843.43 is: 1,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.98 : 3,238.04 = 843.43 : x
  2. Step 2: Convert to fraction form
    2,159.98/3,238.04 = 843.43/x
  3. Step 3: Cross multiply
    2,159.98x = 3,238.04 × 843.43
  4. Step 4: Simplify right side
    2,159.98x = 2,731,054.09
  5. Step 5: Solve for x
    x = 2,731,054.09/2,159.98
  6. Step 6: Final answer
    x = 1,264.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.