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Finding the Fourth Proportional to 2,120.86, 2,907.47 and 2,086.84

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Solution

The fourth proportional to 2,120.86, 2,907.47 and 2,086.84 is: 2,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.86 : 2,907.47 = 2,086.84 : x
  2. Step 2: Convert to fraction form
    2,120.86/2,907.47 = 2,086.84/x
  3. Step 3: Cross multiply
    2,120.86x = 2,907.47 × 2,086.84
  4. Step 4: Simplify right side
    2,120.86x = 6,067,424.69
  5. Step 5: Solve for x
    x = 6,067,424.69/2,120.86
  6. Step 6: Final answer
    x = 2,860.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.