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Finding the Fourth Proportional to 2,757.86, 3,805.98 and 1,578.92

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Solution

The fourth proportional to 2,757.86, 3,805.98 and 1,578.92 is: 2,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.86 : 3,805.98 = 1,578.92 : x
  2. Step 2: Convert to fraction form
    2,757.86/3,805.98 = 1,578.92/x
  3. Step 3: Cross multiply
    2,757.86x = 3,805.98 × 1,578.92
  4. Step 4: Simplify right side
    2,757.86x = 6,009,337.94
  5. Step 5: Solve for x
    x = 6,009,337.94/2,757.86
  6. Step 6: Final answer
    x = 2,178.99

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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.