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Finding the Fourth Proportional to 2,144.87, 3,214.87 and 911.51

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Solution

The fourth proportional to 2,144.87, 3,214.87 and 911.51 is: 1,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.87 : 3,214.87 = 911.51 : x
  2. Step 2: Convert to fraction form
    2,144.87/3,214.87 = 911.51/x
  3. Step 3: Cross multiply
    2,144.87x = 3,214.87 × 911.51
  4. Step 4: Simplify right side
    2,144.87x = 2,930,386.15
  5. Step 5: Solve for x
    x = 2,930,386.15/2,144.87
  6. Step 6: Final answer
    x = 1,366.23

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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.