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Finding the Fourth Proportional to 2,199.98, 3,299.88 and 1,906.52

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Solution

The fourth proportional to 2,199.98, 3,299.88 and 1,906.52 is: 2,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.98 : 3,299.88 = 1,906.52 : x
  2. Step 2: Convert to fraction form
    2,199.98/3,299.88 = 1,906.52/x
  3. Step 3: Cross multiply
    2,199.98x = 3,299.88 × 1,906.52
  4. Step 4: Simplify right side
    2,199.98x = 6,291,287.22
  5. Step 5: Solve for x
    x = 6,291,287.22/2,199.98
  6. Step 6: Final answer
    x = 2,859.70

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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.