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Finding the Fourth Proportional to 2,822.92, 4,234.88 and 1,180.62

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Solution

The fourth proportional to 2,822.92, 4,234.88 and 1,180.62 is: 1,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.92 : 4,234.88 = 1,180.62 : x
  2. Step 2: Convert to fraction form
    2,822.92/4,234.88 = 1,180.62/x
  3. Step 3: Cross multiply
    2,822.92x = 4,234.88 × 1,180.62
  4. Step 4: Simplify right side
    2,822.92x = 4,999,784.03
  5. Step 5: Solve for x
    x = 4,999,784.03/2,822.92
  6. Step 6: Final answer
    x = 1,771.14

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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.