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Finding the Fourth Proportional to 2,141.52, 3,194.28 and 1,944.66

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Solution

The fourth proportional to 2,141.52, 3,194.28 and 1,944.66 is: 2,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.52 : 3,194.28 = 1,944.66 : x
  2. Step 2: Convert to fraction form
    2,141.52/3,194.28 = 1,944.66/x
  3. Step 3: Cross multiply
    2,141.52x = 3,194.28 × 1,944.66
  4. Step 4: Simplify right side
    2,141.52x = 6,211,788.54
  5. Step 5: Solve for x
    x = 6,211,788.54/2,141.52
  6. Step 6: Final answer
    x = 2,900.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.