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Finding the Fourth Proportional to 2,006.84, 2,769.50 and 1,122.64

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Solution

The fourth proportional to 2,006.84, 2,769.50 and 1,122.64 is: 1,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.84 : 2,769.50 = 1,122.64 : x
  2. Step 2: Convert to fraction form
    2,006.84/2,769.50 = 1,122.64/x
  3. Step 3: Cross multiply
    2,006.84x = 2,769.50 × 1,122.64
  4. Step 4: Simplify right side
    2,006.84x = 3,109,147.36
  5. Step 5: Solve for x
    x = 3,109,147.36/2,006.84
  6. Step 6: Final answer
    x = 1,549.27

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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.