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Finding the Fourth Proportional to 4,113.70, 6,171.06 and 1,340.65

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Solution

The fourth proportional to 4,113.70, 6,171.06 and 1,340.65 is: 2,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.70 : 6,171.06 = 1,340.65 : x
  2. Step 2: Convert to fraction form
    4,113.70/6,171.06 = 1,340.65/x
  3. Step 3: Cross multiply
    4,113.70x = 6,171.06 × 1,340.65
  4. Step 4: Simplify right side
    4,113.70x = 8,273,231.59
  5. Step 5: Solve for x
    x = 8,273,231.59/4,113.70
  6. Step 6: Final answer
    x = 2,011.14

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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.