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Finding the Fourth Proportional to 3,244.72, 4,867.82 and 1,783.48

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Solution

The fourth proportional to 3,244.72, 4,867.82 and 1,783.48 is: 2,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.72 : 4,867.82 = 1,783.48 : x
  2. Step 2: Convert to fraction form
    3,244.72/4,867.82 = 1,783.48/x
  3. Step 3: Cross multiply
    3,244.72x = 4,867.82 × 1,783.48
  4. Step 4: Simplify right side
    3,244.72x = 8,681,659.61
  5. Step 5: Solve for x
    x = 8,681,659.61/3,244.72
  6. Step 6: Final answer
    x = 2,675.63

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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.