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Finding the Fourth Proportional to 2,462.42, 3,694.25 and 1,001.99

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Solution

The fourth proportional to 2,462.42, 3,694.25 and 1,001.99 is: 1,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.42 : 3,694.25 = 1,001.99 : x
  2. Step 2: Convert to fraction form
    2,462.42/3,694.25 = 1,001.99/x
  3. Step 3: Cross multiply
    2,462.42x = 3,694.25 × 1,001.99
  4. Step 4: Simplify right side
    2,462.42x = 3,701,613.30
  5. Step 5: Solve for x
    x = 3,701,613.30/2,462.42
  6. Step 6: Final answer
    x = 1,503.24

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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.