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Finding the Fourth Proportional to 2,472.24, 3,408.60 and 2,136.24

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Solution

The fourth proportional to 2,472.24, 3,408.60 and 2,136.24 is: 2,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.24 : 3,408.60 = 2,136.24 : x
  2. Step 2: Convert to fraction form
    2,472.24/3,408.60 = 2,136.24/x
  3. Step 3: Cross multiply
    2,472.24x = 3,408.60 × 2,136.24
  4. Step 4: Simplify right side
    2,472.24x = 7,281,587.66
  5. Step 5: Solve for x
    x = 7,281,587.66/2,472.24
  6. Step 6: Final answer
    x = 2,945.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.