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Finding the Fourth Proportional to 2,822.72, 4,234.22 and 1,783.59

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Solution

The fourth proportional to 2,822.72, 4,234.22 and 1,783.59 is: 2,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.72 : 4,234.22 = 1,783.59 : x
  2. Step 2: Convert to fraction form
    2,822.72/4,234.22 = 1,783.59/x
  3. Step 3: Cross multiply
    2,822.72x = 4,234.22 × 1,783.59
  4. Step 4: Simplify right side
    2,822.72x = 7,552,103.53
  5. Step 5: Solve for x
    x = 7,552,103.53/2,822.72
  6. Step 6: Final answer
    x = 2,675.48

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