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Finding the Fourth Proportional to 2,003.94, 2,766.21 and 1,340.55

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Solution

The fourth proportional to 2,003.94, 2,766.21 and 1,340.55 is: 1,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 2,766.21 = 1,340.55 : x
  2. Step 2: Convert to fraction form
    2,003.94/2,766.21 = 1,340.55/x
  3. Step 3: Cross multiply
    2,003.94x = 2,766.21 × 1,340.55
  4. Step 4: Simplify right side
    2,003.94x = 3,708,237.79
  5. Step 5: Solve for x
    x = 3,708,237.79/2,003.94
  6. Step 6: Final answer
    x = 1,850.47

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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.