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Finding the Fourth Proportional to 2,133.87, 2,944.80 and 1,249.71

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Solution

The fourth proportional to 2,133.87, 2,944.80 and 1,249.71 is: 1,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.87 : 2,944.80 = 1,249.71 : x
  2. Step 2: Convert to fraction form
    2,133.87/2,944.80 = 1,249.71/x
  3. Step 3: Cross multiply
    2,133.87x = 2,944.80 × 1,249.71
  4. Step 4: Simplify right side
    2,133.87x = 3,680,146.01
  5. Step 5: Solve for x
    x = 3,680,146.01/2,133.87
  6. Step 6: Final answer
    x = 1,724.63

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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.