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Finding the Fourth Proportional to 4,309.40, 6,464.06 and 1,231.40

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Solution

The fourth proportional to 4,309.40, 6,464.06 and 1,231.40 is: 1,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.40 : 6,464.06 = 1,231.40 : x
  2. Step 2: Convert to fraction form
    4,309.40/6,464.06 = 1,231.40/x
  3. Step 3: Cross multiply
    4,309.40x = 6,464.06 × 1,231.40
  4. Step 4: Simplify right side
    4,309.40x = 7,959,843.48
  5. Step 5: Solve for x
    x = 7,959,843.48/4,309.40
  6. Step 6: Final answer
    x = 1,847.09

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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.