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Finding the Fourth Proportional to 2,869.69, 3,962.07 and 2,205.33

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Solution

The fourth proportional to 2,869.69, 3,962.07 and 2,205.33 is: 3,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.69 : 3,962.07 = 2,205.33 : x
  2. Step 2: Convert to fraction form
    2,869.69/3,962.07 = 2,205.33/x
  3. Step 3: Cross multiply
    2,869.69x = 3,962.07 × 2,205.33
  4. Step 4: Simplify right side
    2,869.69x = 8,737,660.81
  5. Step 5: Solve for x
    x = 8,737,660.81/2,869.69
  6. Step 6: Final answer
    x = 3,044.81

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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.