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Finding the Fourth Proportional to 2,199.67, 3,035.62 and 1,255.61

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Solution

The fourth proportional to 2,199.67, 3,035.62 and 1,255.61 is: 1,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.67 : 3,035.62 = 1,255.61 : x
  2. Step 2: Convert to fraction form
    2,199.67/3,035.62 = 1,255.61/x
  3. Step 3: Cross multiply
    2,199.67x = 3,035.62 × 1,255.61
  4. Step 4: Simplify right side
    2,199.67x = 3,811,554.83
  5. Step 5: Solve for x
    x = 3,811,554.83/2,199.67
  6. Step 6: Final answer
    x = 1,732.78

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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.