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Finding the Fourth Proportional to 2,144.91, 3,215.60 and 912.16

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Solution

The fourth proportional to 2,144.91, 3,215.60 and 912.16 is: 1,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.91 : 3,215.60 = 912.16 : x
  2. Step 2: Convert to fraction form
    2,144.91/3,215.60 = 912.16/x
  3. Step 3: Cross multiply
    2,144.91x = 3,215.60 × 912.16
  4. Step 4: Simplify right side
    2,144.91x = 2,933,144.58
  5. Step 5: Solve for x
    x = 2,933,144.58/2,144.91
  6. Step 6: Final answer
    x = 1,367.49

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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.