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Finding the Fourth Proportional to 2,866.44, 3,957.57 and 2,202.09

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Solution

The fourth proportional to 2,866.44, 3,957.57 and 2,202.09 is: 3,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.44 : 3,957.57 = 2,202.09 : x
  2. Step 2: Convert to fraction form
    2,866.44/3,957.57 = 2,202.09/x
  3. Step 3: Cross multiply
    2,866.44x = 3,957.57 × 2,202.09
  4. Step 4: Simplify right side
    2,866.44x = 8,714,925.32
  5. Step 5: Solve for x
    x = 8,714,925.32/2,866.44
  6. Step 6: Final answer
    x = 3,040.33

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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.