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Finding the Fourth Proportional to 2,006.90, 2,769.48 and 1,167.55

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Solution

The fourth proportional to 2,006.90, 2,769.48 and 1,167.55 is: 1,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.90 : 2,769.48 = 1,167.55 : x
  2. Step 2: Convert to fraction form
    2,006.90/2,769.48 = 1,167.55/x
  3. Step 3: Cross multiply
    2,006.90x = 2,769.48 × 1,167.55
  4. Step 4: Simplify right side
    2,006.90x = 3,233,499.45
  5. Step 5: Solve for x
    x = 3,233,499.45/2,006.90
  6. Step 6: Final answer
    x = 1,611.19

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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.