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Finding the Fourth Proportional to 2,243.61, 3,355.47 and 1,998.63

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Solution

The fourth proportional to 2,243.61, 3,355.47 and 1,998.63 is: 2,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.61 : 3,355.47 = 1,998.63 : x
  2. Step 2: Convert to fraction form
    2,243.61/3,355.47 = 1,998.63/x
  3. Step 3: Cross multiply
    2,243.61x = 3,355.47 × 1,998.63
  4. Step 4: Simplify right side
    2,243.61x = 6,706,343.01
  5. Step 5: Solve for x
    x = 6,706,343.01/2,243.61
  6. Step 6: Final answer
    x = 2,989.09

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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.