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Finding the Fourth Proportional to 2,138.14, 2,944.70 and 1,843.30

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Solution

The fourth proportional to 2,138.14, 2,944.70 and 1,843.30 is: 2,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.14 : 2,944.70 = 1,843.30 : x
  2. Step 2: Convert to fraction form
    2,138.14/2,944.70 = 1,843.30/x
  3. Step 3: Cross multiply
    2,138.14x = 2,944.70 × 1,843.30
  4. Step 4: Simplify right side
    2,138.14x = 5,427,965.51
  5. Step 5: Solve for x
    x = 5,427,965.51/2,138.14
  6. Step 6: Final answer
    x = 2,538.64

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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.