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Finding the Fourth Proportional to 2,006.49, 2,768.86 and 1,167.06

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Solution

The fourth proportional to 2,006.49, 2,768.86 and 1,167.06 is: 1,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.49 : 2,768.86 = 1,167.06 : x
  2. Step 2: Convert to fraction form
    2,006.49/2,768.86 = 1,167.06/x
  3. Step 3: Cross multiply
    2,006.49x = 2,768.86 × 1,167.06
  4. Step 4: Simplify right side
    2,006.49x = 3,231,425.75
  5. Step 5: Solve for x
    x = 3,231,425.75/2,006.49
  6. Step 6: Final answer
    x = 1,610.49

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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.