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Finding the Fourth Proportional to 3,100.31, 4,650.97 and 1,019.71

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Solution

The fourth proportional to 3,100.31, 4,650.97 and 1,019.71 is: 1,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.31 : 4,650.97 = 1,019.71 : x
  2. Step 2: Convert to fraction form
    3,100.31/4,650.97 = 1,019.71/x
  3. Step 3: Cross multiply
    3,100.31x = 4,650.97 × 1,019.71
  4. Step 4: Simplify right side
    3,100.31x = 4,742,640.62
  5. Step 5: Solve for x
    x = 4,742,640.62/3,100.31
  6. Step 6: Final answer
    x = 1,529.73

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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.