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Finding the Fourth Proportional to 2,109.87, 3,162.87 and 1,012.68

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Solution

The fourth proportional to 2,109.87, 3,162.87 and 1,012.68 is: 1,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.87 : 3,162.87 = 1,012.68 : x
  2. Step 2: Convert to fraction form
    2,109.87/3,162.87 = 1,012.68/x
  3. Step 3: Cross multiply
    2,109.87x = 3,162.87 × 1,012.68
  4. Step 4: Simplify right side
    2,109.87x = 3,202,975.19
  5. Step 5: Solve for x
    x = 3,202,975.19/2,109.87
  6. Step 6: Final answer
    x = 1,518.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.