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Finding the Fourth Proportional to 2,134.66, 3,201.99 and 1,648.42

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Solution

The fourth proportional to 2,134.66, 3,201.99 and 1,648.42 is: 2,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.66 : 3,201.99 = 1,648.42 : x
  2. Step 2: Convert to fraction form
    2,134.66/3,201.99 = 1,648.42/x
  3. Step 3: Cross multiply
    2,134.66x = 3,201.99 × 1,648.42
  4. Step 4: Simplify right side
    2,134.66x = 5,278,224.36
  5. Step 5: Solve for x
    x = 5,278,224.36/2,134.66
  6. Step 6: Final answer
    x = 2,472.63

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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.