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Finding the Fourth Proportional to 2,083.86, 3,104.03 and 1,989.09

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Solution

The fourth proportional to 2,083.86, 3,104.03 and 1,989.09 is: 2,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.86 : 3,104.03 = 1,989.09 : x
  2. Step 2: Convert to fraction form
    2,083.86/3,104.03 = 1,989.09/x
  3. Step 3: Cross multiply
    2,083.86x = 3,104.03 × 1,989.09
  4. Step 4: Simplify right side
    2,083.86x = 6,174,200.01
  5. Step 5: Solve for x
    x = 6,174,200.01/2,083.86
  6. Step 6: Final answer
    x = 2,962.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.