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Finding the Fourth Proportional to 2,062.36, 3,089.06 and 1,194.52

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Solution

The fourth proportional to 2,062.36, 3,089.06 and 1,194.52 is: 1,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.36 : 3,089.06 = 1,194.52 : x
  2. Step 2: Convert to fraction form
    2,062.36/3,089.06 = 1,194.52/x
  3. Step 3: Cross multiply
    2,062.36x = 3,089.06 × 1,194.52
  4. Step 4: Simplify right side
    2,062.36x = 3,689,943.95
  5. Step 5: Solve for x
    x = 3,689,943.95/2,062.36
  6. Step 6: Final answer
    x = 1,789.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.