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Finding the Fourth Proportional to 3,241.32, 4,472.33 and 2,064.39

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Solution

The fourth proportional to 3,241.32, 4,472.33 and 2,064.39 is: 2,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.32 : 4,472.33 = 2,064.39 : x
  2. Step 2: Convert to fraction form
    3,241.32/4,472.33 = 2,064.39/x
  3. Step 3: Cross multiply
    3,241.32x = 4,472.33 × 2,064.39
  4. Step 4: Simplify right side
    3,241.32x = 9,232,623.01
  5. Step 5: Solve for x
    x = 9,232,623.01/3,241.32
  6. Step 6: Final answer
    x = 2,848.41

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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.