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Finding the Fourth Proportional to 2,009.28, 2,998.68 and 1,957.44

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Solution

The fourth proportional to 2,009.28, 2,998.68 and 1,957.44 is: 2,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.28 : 2,998.68 = 1,957.44 : x
  2. Step 2: Convert to fraction form
    2,009.28/2,998.68 = 1,957.44/x
  3. Step 3: Cross multiply
    2,009.28x = 2,998.68 × 1,957.44
  4. Step 4: Simplify right side
    2,009.28x = 5,869,736.18
  5. Step 5: Solve for x
    x = 5,869,736.18/2,009.28
  6. Step 6: Final answer
    x = 2,921.31

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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.