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Finding the Fourth Proportional to 2,459.16, 3,686.31 and 998.73

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Solution

The fourth proportional to 2,459.16, 3,686.31 and 998.73 is: 1,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.16 : 3,686.31 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,459.16/3,686.31 = 998.73/x
  3. Step 3: Cross multiply
    2,459.16x = 3,686.31 × 998.73
  4. Step 4: Simplify right side
    2,459.16x = 3,681,628.39
  5. Step 5: Solve for x
    x = 3,681,628.39/2,459.16
  6. Step 6: Final answer
    x = 1,497.11

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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.