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Finding the Fourth Proportional to 2,557.62, 3,836.51 and 997.56

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Solution

The fourth proportional to 2,557.62, 3,836.51 and 997.56 is: 1,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.62 : 3,836.51 = 997.56 : x
  2. Step 2: Convert to fraction form
    2,557.62/3,836.51 = 997.56/x
  3. Step 3: Cross multiply
    2,557.62x = 3,836.51 × 997.56
  4. Step 4: Simplify right side
    2,557.62x = 3,827,147.67
  5. Step 5: Solve for x
    x = 3,827,147.67/2,557.62
  6. Step 6: Final answer
    x = 1,496.37

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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.