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Finding the Fourth Proportional to 2,843.46, 3,908.10 and 2,509.86

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Solution

The fourth proportional to 2,843.46, 3,908.10 and 2,509.86 is: 3,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.46 : 3,908.10 = 2,509.86 : x
  2. Step 2: Convert to fraction form
    2,843.46/3,908.10 = 2,509.86/x
  3. Step 3: Cross multiply
    2,843.46x = 3,908.10 × 2,509.86
  4. Step 4: Simplify right side
    2,843.46x = 9,808,783.87
  5. Step 5: Solve for x
    x = 9,808,783.87/2,843.46
  6. Step 6: Final answer
    x = 3,449.59

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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.