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Finding the Fourth Proportional to 2,924.94, 4,383.36 and 2,099.55

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Solution

The fourth proportional to 2,924.94, 4,383.36 and 2,099.55 is: 3,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.94 : 4,383.36 = 2,099.55 : x
  2. Step 2: Convert to fraction form
    2,924.94/4,383.36 = 2,099.55/x
  3. Step 3: Cross multiply
    2,924.94x = 4,383.36 × 2,099.55
  4. Step 4: Simplify right side
    2,924.94x = 9,203,083.49
  5. Step 5: Solve for x
    x = 9,203,083.49/2,924.94
  6. Step 6: Final answer
    x = 3,146.42

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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.