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Finding the Fourth Proportional to 2,144.60, 3,216.33 and 911.37

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Solution

The fourth proportional to 2,144.60, 3,216.33 and 911.37 is: 1,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.60 : 3,216.33 = 911.37 : x
  2. Step 2: Convert to fraction form
    2,144.60/3,216.33 = 911.37/x
  3. Step 3: Cross multiply
    2,144.60x = 3,216.33 × 911.37
  4. Step 4: Simplify right side
    2,144.60x = 2,931,266.67
  5. Step 5: Solve for x
    x = 2,931,266.67/2,144.60
  6. Step 6: Final answer
    x = 1,366.81

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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.