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Finding the Fourth Proportional to 2,194.64, 3,028.52 and 1,263.44

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Solution

The fourth proportional to 2,194.64, 3,028.52 and 1,263.44 is: 1,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.64 : 3,028.52 = 1,263.44 : x
  2. Step 2: Convert to fraction form
    2,194.64/3,028.52 = 1,263.44/x
  3. Step 3: Cross multiply
    2,194.64x = 3,028.52 × 1,263.44
  4. Step 4: Simplify right side
    2,194.64x = 3,826,353.31
  5. Step 5: Solve for x
    x = 3,826,353.31/2,194.64
  6. Step 6: Final answer
    x = 1,743.50

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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.