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Finding the Fourth Proportional to 2,991.32, 4,128.09 and 1,665

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Solution

The fourth proportional to 2,991.32, 4,128.09 and 1,665 is: 2,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.32 : 4,128.09 = 1,665 : x
  2. Step 2: Convert to fraction form
    2,991.32/4,128.09 = 1,665/x
  3. Step 3: Cross multiply
    2,991.32x = 4,128.09 × 1,665
  4. Step 4: Simplify right side
    2,991.32x = 6,873,269.85
  5. Step 5: Solve for x
    x = 6,873,269.85/2,991.32
  6. Step 6: Final answer
    x = 2,297.74

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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.