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Finding the Fourth Proportional to 2,637.72, 3,956.24 and 1,176.56

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Solution

The fourth proportional to 2,637.72, 3,956.24 and 1,176.56 is: 1,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.72 : 3,956.24 = 1,176.56 : x
  2. Step 2: Convert to fraction form
    2,637.72/3,956.24 = 1,176.56/x
  3. Step 3: Cross multiply
    2,637.72x = 3,956.24 × 1,176.56
  4. Step 4: Simplify right side
    2,637.72x = 4,654,753.73
  5. Step 5: Solve for x
    x = 4,654,753.73/2,637.72
  6. Step 6: Final answer
    x = 1,764.69

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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.