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Finding the Fourth Proportional to 2,592.16, 3,888.20 and 644.38

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Solution

The fourth proportional to 2,592.16, 3,888.20 and 644.38 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.16 : 3,888.20 = 644.38 : x
  2. Step 2: Convert to fraction form
    2,592.16/3,888.20 = 644.38/x
  3. Step 3: Cross multiply
    2,592.16x = 3,888.20 × 644.38
  4. Step 4: Simplify right side
    2,592.16x = 2,505,470.21
  5. Step 5: Solve for x
    x = 2,505,470.21/2,592.16
  6. Step 6: Final answer
    x = 966.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.