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Finding the Fourth Proportional to 2,460.21, 3,687.12 and 998.57

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Solution

The fourth proportional to 2,460.21, 3,687.12 and 998.57 is: 1,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.21 : 3,687.12 = 998.57 : x
  2. Step 2: Convert to fraction form
    2,460.21/3,687.12 = 998.57/x
  3. Step 3: Cross multiply
    2,460.21x = 3,687.12 × 998.57
  4. Step 4: Simplify right side
    2,460.21x = 3,681,847.42
  5. Step 5: Solve for x
    x = 3,681,847.42/2,460.21
  6. Step 6: Final answer
    x = 1,496.56

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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.