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Finding the Fourth Proportional to 3,168.70, 4,753.07 and 1,317.80

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Solution

The fourth proportional to 3,168.70, 4,753.07 and 1,317.80 is: 1,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.70 : 4,753.07 = 1,317.80 : x
  2. Step 2: Convert to fraction form
    3,168.70/4,753.07 = 1,317.80/x
  3. Step 3: Cross multiply
    3,168.70x = 4,753.07 × 1,317.80
  4. Step 4: Simplify right side
    3,168.70x = 6,263,595.65
  5. Step 5: Solve for x
    x = 6,263,595.65/3,168.70
  6. Step 6: Final answer
    x = 1,976.71

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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.