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Finding the Fourth Proportional to 2,004.66, 2,765.97 and 1,164.90

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Solution

The fourth proportional to 2,004.66, 2,765.97 and 1,164.90 is: 1,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.66 : 2,765.97 = 1,164.90 : x
  2. Step 2: Convert to fraction form
    2,004.66/2,765.97 = 1,164.90/x
  3. Step 3: Cross multiply
    2,004.66x = 2,765.97 × 1,164.90
  4. Step 4: Simplify right side
    2,004.66x = 3,222,078.45
  5. Step 5: Solve for x
    x = 3,222,078.45/2,004.66
  6. Step 6: Final answer
    x = 1,607.29

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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.