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Finding the Fourth Proportional to 3,193.92, 4,790.88 and 1,346.31

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Solution

The fourth proportional to 3,193.92, 4,790.88 and 1,346.31 is: 2,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,790.88 = 1,346.31 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,790.88 = 1,346.31/x
  3. Step 3: Cross multiply
    3,193.92x = 4,790.88 × 1,346.31
  4. Step 4: Simplify right side
    3,193.92x = 6,450,009.65
  5. Step 5: Solve for x
    x = 6,450,009.65/3,193.92
  6. Step 6: Final answer
    x = 2,019.47

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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.