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Finding the Fourth Proportional to 2,006.13, 2,768.31 and 1,166.84

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Solution

The fourth proportional to 2,006.13, 2,768.31 and 1,166.84 is: 1,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.13 : 2,768.31 = 1,166.84 : x
  2. Step 2: Convert to fraction form
    2,006.13/2,768.31 = 1,166.84/x
  3. Step 3: Cross multiply
    2,006.13x = 2,768.31 × 1,166.84
  4. Step 4: Simplify right side
    2,006.13x = 3,230,161.00
  5. Step 5: Solve for x
    x = 3,230,161.00/2,006.13
  6. Step 6: Final answer
    x = 1,610.15

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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.