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Finding the Fourth Proportional to 2,199.83, 3,035.84 and 1,205.19

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Solution

The fourth proportional to 2,199.83, 3,035.84 and 1,205.19 is: 1,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.83 : 3,035.84 = 1,205.19 : x
  2. Step 2: Convert to fraction form
    2,199.83/3,035.84 = 1,205.19/x
  3. Step 3: Cross multiply
    2,199.83x = 3,035.84 × 1,205.19
  4. Step 4: Simplify right side
    2,199.83x = 3,658,757.98
  5. Step 5: Solve for x
    x = 3,658,757.98/2,199.83
  6. Step 6: Final answer
    x = 1,663.20

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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.