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Finding the Fourth Proportional to 3,042.77, 4,198.77 and 1,923.71

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Solution

The fourth proportional to 3,042.77, 4,198.77 and 1,923.71 is: 2,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.77 : 4,198.77 = 1,923.71 : x
  2. Step 2: Convert to fraction form
    3,042.77/4,198.77 = 1,923.71/x
  3. Step 3: Cross multiply
    3,042.77x = 4,198.77 × 1,923.71
  4. Step 4: Simplify right side
    3,042.77x = 8,077,226.33
  5. Step 5: Solve for x
    x = 8,077,226.33/3,042.77
  6. Step 6: Final answer
    x = 2,654.56

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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.