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Finding the Fourth Proportional to 2,815.86, 3,889.84 and 2,034

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Solution

The fourth proportional to 2,815.86, 3,889.84 and 2,034 is: 2,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.86 : 3,889.84 = 2,034 : x
  2. Step 2: Convert to fraction form
    2,815.86/3,889.84 = 2,034/x
  3. Step 3: Cross multiply
    2,815.86x = 3,889.84 × 2,034
  4. Step 4: Simplify right side
    2,815.86x = 7,911,934.56
  5. Step 5: Solve for x
    x = 7,911,934.56/2,815.86
  6. Step 6: Final answer
    x = 2,809.78

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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.