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Finding the Fourth Proportional to 2,846.36, 4,267.92 and 1,383.68

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Solution

The fourth proportional to 2,846.36, 4,267.92 and 1,383.68 is: 2,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.36 : 4,267.92 = 1,383.68 : x
  2. Step 2: Convert to fraction form
    2,846.36/4,267.92 = 1,383.68/x
  3. Step 3: Cross multiply
    2,846.36x = 4,267.92 × 1,383.68
  4. Step 4: Simplify right side
    2,846.36x = 5,905,435.55
  5. Step 5: Solve for x
    x = 5,905,435.55/2,846.36
  6. Step 6: Final answer
    x = 2,074.73

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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.