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Finding the Fourth Proportional to 2,136.09, 3,201.40 and 1,648.11

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Solution

The fourth proportional to 2,136.09, 3,201.40 and 1,648.11 is: 2,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.09 : 3,201.40 = 1,648.11 : x
  2. Step 2: Convert to fraction form
    2,136.09/3,201.40 = 1,648.11/x
  3. Step 3: Cross multiply
    2,136.09x = 3,201.40 × 1,648.11
  4. Step 4: Simplify right side
    2,136.09x = 5,276,251.11
  5. Step 5: Solve for x
    x = 5,276,251.11/2,136.09
  6. Step 6: Final answer
    x = 2,470.05

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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.