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Finding the Fourth Proportional to 2,477.73, 3,716.55 and 997.59

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Solution

The fourth proportional to 2,477.73, 3,716.55 and 997.59 is: 1,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.73 : 3,716.55 = 997.59 : x
  2. Step 2: Convert to fraction form
    2,477.73/3,716.55 = 997.59/x
  3. Step 3: Cross multiply
    2,477.73x = 3,716.55 × 997.59
  4. Step 4: Simplify right side
    2,477.73x = 3,707,593.11
  5. Step 5: Solve for x
    x = 3,707,593.11/2,477.73
  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.