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Finding the Fourth Proportional to 2,005.97, 2,768.38 and 1,166.74

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Solution

The fourth proportional to 2,005.97, 2,768.38 and 1,166.74 is: 1,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.97 : 2,768.38 = 1,166.74 : x
  2. Step 2: Convert to fraction form
    2,005.97/2,768.38 = 1,166.74/x
  3. Step 3: Cross multiply
    2,005.97x = 2,768.38 × 1,166.74
  4. Step 4: Simplify right side
    2,005.97x = 3,229,969.84
  5. Step 5: Solve for x
    x = 3,229,969.84/2,005.97
  6. Step 6: Final answer
    x = 1,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.