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Finding the Fourth Proportional to 2,006.94, 2,769.60 and 1,122.75

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Solution

The fourth proportional to 2,006.94, 2,769.60 and 1,122.75 is: 1,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.94 : 2,769.60 = 1,122.75 : x
  2. Step 2: Convert to fraction form
    2,006.94/2,769.60 = 1,122.75/x
  3. Step 3: Cross multiply
    2,006.94x = 2,769.60 × 1,122.75
  4. Step 4: Simplify right side
    2,006.94x = 3,109,568.40
  5. Step 5: Solve for x
    x = 3,109,568.40/2,006.94
  6. Step 6: Final answer
    x = 1,549.41

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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.