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Finding the Fourth Proportional to 2,592.12, 3,888.21 and 644.33

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Solution

The fourth proportional to 2,592.12, 3,888.21 and 644.33 is: 966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.12 : 3,888.21 = 644.33 : x
  2. Step 2: Convert to fraction form
    2,592.12/3,888.21 = 644.33/x
  3. Step 3: Cross multiply
    2,592.12x = 3,888.21 × 644.33
  4. Step 4: Simplify right side
    2,592.12x = 2,505,270.91
  5. Step 5: Solve for x
    x = 2,505,270.91/2,592.12
  6. Step 6: Final answer
    x = 966.49

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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.