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Finding the Fourth Proportional to 1,944.05, 2,681.42 and 1,879.76

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Solution

The fourth proportional to 1,944.05, 2,681.42 and 1,879.76 is: 2,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.05 : 2,681.42 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    1,944.05/2,681.42 = 1,879.76/x
  3. Step 3: Cross multiply
    1,944.05x = 2,681.42 × 1,879.76
  4. Step 4: Simplify right side
    1,944.05x = 5,040,403.25
  5. Step 5: Solve for x
    x = 5,040,403.25/1,944.05
  6. Step 6: Final answer
    x = 2,592.74

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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.