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Finding the Fourth Proportional to 4,120.46, 6,181.46 and 1,347.92

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Solution

The fourth proportional to 4,120.46, 6,181.46 and 1,347.92 is: 2,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.46 : 6,181.46 = 1,347.92 : x
  2. Step 2: Convert to fraction form
    4,120.46/6,181.46 = 1,347.92/x
  3. Step 3: Cross multiply
    4,120.46x = 6,181.46 × 1,347.92
  4. Step 4: Simplify right side
    4,120.46x = 8,332,113.56
  5. Step 5: Solve for x
    x = 8,332,113.56/4,120.46
  6. Step 6: Final answer
    x = 2,022.13

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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.