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Finding the Fourth Proportional to 2,823.78, 4,233.86 and 949.44

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Solution

The fourth proportional to 2,823.78, 4,233.86 and 949.44 is: 1,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.78 : 4,233.86 = 949.44 : x
  2. Step 2: Convert to fraction form
    2,823.78/4,233.86 = 949.44/x
  3. Step 3: Cross multiply
    2,823.78x = 4,233.86 × 949.44
  4. Step 4: Simplify right side
    2,823.78x = 4,019,796.04
  5. Step 5: Solve for x
    x = 4,019,796.04/2,823.78
  6. Step 6: Final answer
    x = 1,423.55

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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.