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Finding the Fourth Proportional to 2,851.86, 3,934.47 and 2,107.62

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Solution

The fourth proportional to 2,851.86, 3,934.47 and 2,107.62 is: 2,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.86 : 3,934.47 = 2,107.62 : x
  2. Step 2: Convert to fraction form
    2,851.86/3,934.47 = 2,107.62/x
  3. Step 3: Cross multiply
    2,851.86x = 3,934.47 × 2,107.62
  4. Step 4: Simplify right side
    2,851.86x = 8,292,367.66
  5. Step 5: Solve for x
    x = 8,292,367.66/2,851.86
  6. Step 6: Final answer
    x = 2,907.71

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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.