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Finding the Fourth Proportional to 2,134.24, 3,201.36 and 836.08

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Solution

The fourth proportional to 2,134.24, 3,201.36 and 836.08 is: 1,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.24 : 3,201.36 = 836.08 : x
  2. Step 2: Convert to fraction form
    2,134.24/3,201.36 = 836.08/x
  3. Step 3: Cross multiply
    2,134.24x = 3,201.36 × 836.08
  4. Step 4: Simplify right side
    2,134.24x = 2,676,593.07
  5. Step 5: Solve for x
    x = 2,676,593.07/2,134.24
  6. Step 6: Final answer
    x = 1,254.12

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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.