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Finding the Fourth Proportional to 2,458.82, 3,688.44 and 998.12

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Solution

The fourth proportional to 2,458.82, 3,688.44 and 998.12 is: 1,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.82 : 3,688.44 = 998.12 : x
  2. Step 2: Convert to fraction form
    2,458.82/3,688.44 = 998.12/x
  3. Step 3: Cross multiply
    2,458.82x = 3,688.44 × 998.12
  4. Step 4: Simplify right side
    2,458.82x = 3,681,505.73
  5. Step 5: Solve for x
    x = 3,681,505.73/2,458.82
  6. Step 6: Final answer
    x = 1,497.27

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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.