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Finding the Fourth Proportional to 2,194.52, 3,028.66 and 1,263

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Solution

The fourth proportional to 2,194.52, 3,028.66 and 1,263 is: 1,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.52 : 3,028.66 = 1,263 : x
  2. Step 2: Convert to fraction form
    2,194.52/3,028.66 = 1,263/x
  3. Step 3: Cross multiply
    2,194.52x = 3,028.66 × 1,263
  4. Step 4: Simplify right side
    2,194.52x = 3,825,197.58
  5. Step 5: Solve for x
    x = 3,825,197.58/2,194.52
  6. Step 6: Final answer
    x = 1,743.07

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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.