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Finding the Fourth Proportional to 2,851.86, 3,935.73 and 1,592.93

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Solution

The fourth proportional to 2,851.86, 3,935.73 and 1,592.93 is: 2,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.86 : 3,935.73 = 1,592.93 : x
  2. Step 2: Convert to fraction form
    2,851.86/3,935.73 = 1,592.93/x
  3. Step 3: Cross multiply
    2,851.86x = 3,935.73 × 1,592.93
  4. Step 4: Simplify right side
    2,851.86x = 6,269,342.39
  5. Step 5: Solve for x
    x = 6,269,342.39/2,851.86
  6. Step 6: Final answer
    x = 2,198.33

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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.