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Finding the Fourth Proportional to 2,638.72, 3,957.56 and 764.83

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Solution

The fourth proportional to 2,638.72, 3,957.56 and 764.83 is: 1,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.72 : 3,957.56 = 764.83 : x
  2. Step 2: Convert to fraction form
    2,638.72/3,957.56 = 764.83/x
  3. Step 3: Cross multiply
    2,638.72x = 3,957.56 × 764.83
  4. Step 4: Simplify right side
    2,638.72x = 3,026,864.61
  5. Step 5: Solve for x
    x = 3,026,864.61/2,638.72
  6. Step 6: Final answer
    x = 1,147.10

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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.