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Finding the Fourth Proportional to 2,007.73, 2,769.69 and 1,300.20

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Solution

The fourth proportional to 2,007.73, 2,769.69 and 1,300.20 is: 1,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.73 : 2,769.69 = 1,300.20 : x
  2. Step 2: Convert to fraction form
    2,007.73/2,769.69 = 1,300.20/x
  3. Step 3: Cross multiply
    2,007.73x = 2,769.69 × 1,300.20
  4. Step 4: Simplify right side
    2,007.73x = 3,601,150.94
  5. Step 5: Solve for x
    x = 3,601,150.94/2,007.73
  6. Step 6: Final answer
    x = 1,793.64

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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.