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Finding the Fourth Proportional to 3,162.72, 4,742.60 and 1,846.85

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Solution

The fourth proportional to 3,162.72, 4,742.60 and 1,846.85 is: 2,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.72 : 4,742.60 = 1,846.85 : x
  2. Step 2: Convert to fraction form
    3,162.72/4,742.60 = 1,846.85/x
  3. Step 3: Cross multiply
    3,162.72x = 4,742.60 × 1,846.85
  4. Step 4: Simplify right side
    3,162.72x = 8,758,887.28
  5. Step 5: Solve for x
    x = 8,758,887.28/3,162.72
  6. Step 6: Final answer
    x = 2,769.42

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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.