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Finding the Fourth Proportional to 2,007.27, 2,769.99 and 1,111.05

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Solution

The fourth proportional to 2,007.27, 2,769.99 and 1,111.05 is: 1,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.27 : 2,769.99 = 1,111.05 : x
  2. Step 2: Convert to fraction form
    2,007.27/2,769.99 = 1,111.05/x
  3. Step 3: Cross multiply
    2,007.27x = 2,769.99 × 1,111.05
  4. Step 4: Simplify right side
    2,007.27x = 3,077,597.39
  5. Step 5: Solve for x
    x = 3,077,597.39/2,007.27
  6. Step 6: Final answer
    x = 1,533.23

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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.