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Finding the Fourth Proportional to 2,002.36, 2,754.12 and 1,608.52

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Solution

The fourth proportional to 2,002.36, 2,754.12 and 1,608.52 is: 2,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.36 : 2,754.12 = 1,608.52 : x
  2. Step 2: Convert to fraction form
    2,002.36/2,754.12 = 1,608.52/x
  3. Step 3: Cross multiply
    2,002.36x = 2,754.12 × 1,608.52
  4. Step 4: Simplify right side
    2,002.36x = 4,430,057.10
  5. Step 5: Solve for x
    x = 4,430,057.10/2,002.36
  6. Step 6: Final answer
    x = 2,212.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.