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Finding the Fourth Proportional to 2,783.41, 4,175.11 and 2,232.88

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Solution

The fourth proportional to 2,783.41, 4,175.11 and 2,232.88 is: 3,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.41 : 4,175.11 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    2,783.41/4,175.11 = 2,232.88/x
  3. Step 3: Cross multiply
    2,783.41x = 4,175.11 × 2,232.88
  4. Step 4: Simplify right side
    2,783.41x = 9,322,519.62
  5. Step 5: Solve for x
    x = 9,322,519.62/2,783.41
  6. Step 6: Final answer
    x = 3,349.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.