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Finding the Fourth Proportional to 2,159.33, 3,239.04 and 1,614.96

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Solution

The fourth proportional to 2,159.33, 3,239.04 and 1,614.96 is: 2,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.33 : 3,239.04 = 1,614.96 : x
  2. Step 2: Convert to fraction form
    2,159.33/3,239.04 = 1,614.96/x
  3. Step 3: Cross multiply
    2,159.33x = 3,239.04 × 1,614.96
  4. Step 4: Simplify right side
    2,159.33x = 5,230,932.18
  5. Step 5: Solve for x
    x = 5,230,932.18/2,159.33
  6. Step 6: Final answer
    x = 2,422.48

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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.