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Finding the Fourth Proportional to 2,644.88, 3,967.16 and 795.96

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Solution

The fourth proportional to 2,644.88, 3,967.16 and 795.96 is: 1,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.88 : 3,967.16 = 795.96 : x
  2. Step 2: Convert to fraction form
    2,644.88/3,967.16 = 795.96/x
  3. Step 3: Cross multiply
    2,644.88x = 3,967.16 × 795.96
  4. Step 4: Simplify right side
    2,644.88x = 3,157,696.69
  5. Step 5: Solve for x
    x = 3,157,696.69/2,644.88
  6. Step 6: Final answer
    x = 1,193.89

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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.