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Finding the Fourth Proportional to 2,991.48, 4,127.80 and 1,665.20

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Solution

The fourth proportional to 2,991.48, 4,127.80 and 1,665.20 is: 2,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.48 : 4,127.80 = 1,665.20 : x
  2. Step 2: Convert to fraction form
    2,991.48/4,127.80 = 1,665.20/x
  3. Step 3: Cross multiply
    2,991.48x = 4,127.80 × 1,665.20
  4. Step 4: Simplify right side
    2,991.48x = 6,873,612.56
  5. Step 5: Solve for x
    x = 6,873,612.56/2,991.48
  6. Step 6: Final answer
    x = 2,297.73

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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.