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Finding the Fourth Proportional to 2,159.31, 3,238.88 and 1,222.32

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Solution

The fourth proportional to 2,159.31, 3,238.88 and 1,222.32 is: 1,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.31 : 3,238.88 = 1,222.32 : x
  2. Step 2: Convert to fraction form
    2,159.31/3,238.88 = 1,222.32/x
  3. Step 3: Cross multiply
    2,159.31x = 3,238.88 × 1,222.32
  4. Step 4: Simplify right side
    2,159.31x = 3,958,941.69
  5. Step 5: Solve for x
    x = 3,958,941.69/2,159.31
  6. Step 6: Final answer
    x = 1,833.43

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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.