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Finding the Fourth Proportional to 3,293.87, 4,942.63 and 1,345.92

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Solution

The fourth proportional to 3,293.87, 4,942.63 and 1,345.92 is: 2,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.87 : 4,942.63 = 1,345.92 : x
  2. Step 2: Convert to fraction form
    3,293.87/4,942.63 = 1,345.92/x
  3. Step 3: Cross multiply
    3,293.87x = 4,942.63 × 1,345.92
  4. Step 4: Simplify right side
    3,293.87x = 6,652,384.57
  5. Step 5: Solve for x
    x = 6,652,384.57/3,293.87
  6. Step 6: Final answer
    x = 2,019.63

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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.