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Finding the Fourth Proportional to 2,004.03, 2,766.15 and 1,164.93

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Solution

The fourth proportional to 2,004.03, 2,766.15 and 1,164.93 is: 1,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.03 : 2,766.15 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    2,004.03/2,766.15 = 1,164.93/x
  3. Step 3: Cross multiply
    2,004.03x = 2,766.15 × 1,164.93
  4. Step 4: Simplify right side
    2,004.03x = 3,222,371.12
  5. Step 5: Solve for x
    x = 3,222,371.12/2,004.03
  6. Step 6: Final answer
    x = 1,607.95

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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.