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Finding the Fourth Proportional to 3,312.29, 4,965.27 and 1,231.74

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Solution

The fourth proportional to 3,312.29, 4,965.27 and 1,231.74 is: 1,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.29 : 4,965.27 = 1,231.74 : x
  2. Step 2: Convert to fraction form
    3,312.29/4,965.27 = 1,231.74/x
  3. Step 3: Cross multiply
    3,312.29x = 4,965.27 × 1,231.74
  4. Step 4: Simplify right side
    3,312.29x = 6,115,917.05
  5. Step 5: Solve for x
    x = 6,115,917.05/3,312.29
  6. Step 6: Final answer
    x = 1,846.43

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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.