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Finding the Fourth Proportional to 3,214.65, 4,819.46 and 1,268.31

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Solution

The fourth proportional to 3,214.65, 4,819.46 and 1,268.31 is: 1,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.65 : 4,819.46 = 1,268.31 : x
  2. Step 2: Convert to fraction form
    3,214.65/4,819.46 = 1,268.31/x
  3. Step 3: Cross multiply
    3,214.65x = 4,819.46 × 1,268.31
  4. Step 4: Simplify right side
    3,214.65x = 6,112,562.97
  5. Step 5: Solve for x
    x = 6,112,562.97/3,214.65
  6. Step 6: Final answer
    x = 1,901.47

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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.