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Finding the Fourth Proportional to 2,134.56, 3,198.48 and 1,648.80

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Solution

The fourth proportional to 2,134.56, 3,198.48 and 1,648.80 is: 2,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.56 : 3,198.48 = 1,648.80 : x
  2. Step 2: Convert to fraction form
    2,134.56/3,198.48 = 1,648.80/x
  3. Step 3: Cross multiply
    2,134.56x = 3,198.48 × 1,648.80
  4. Step 4: Simplify right side
    2,134.56x = 5,273,653.82
  5. Step 5: Solve for x
    x = 5,273,653.82/2,134.56
  6. Step 6: Final answer
    x = 2,470.60

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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.