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Finding the Fourth Proportional to 2,462.28, 3,690.22 and 1,000.62

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Solution

The fourth proportional to 2,462.28, 3,690.22 and 1,000.62 is: 1,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.28 : 3,690.22 = 1,000.62 : x
  2. Step 2: Convert to fraction form
    2,462.28/3,690.22 = 1,000.62/x
  3. Step 3: Cross multiply
    2,462.28x = 3,690.22 × 1,000.62
  4. Step 4: Simplify right side
    2,462.28x = 3,692,507.94
  5. Step 5: Solve for x
    x = 3,692,507.94/2,462.28
  6. Step 6: Final answer
    x = 1,499.63

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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.