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Finding the Fourth Proportional to 2,134.26, 3,203.19 and 2,118.06

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Solution

The fourth proportional to 2,134.26, 3,203.19 and 2,118.06 is: 3,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.26 : 3,203.19 = 2,118.06 : x
  2. Step 2: Convert to fraction form
    2,134.26/3,203.19 = 2,118.06/x
  3. Step 3: Cross multiply
    2,134.26x = 3,203.19 × 2,118.06
  4. Step 4: Simplify right side
    2,134.26x = 6,784,548.61
  5. Step 5: Solve for x
    x = 6,784,548.61/2,134.26
  6. Step 6: Final answer
    x = 3,178.88

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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.