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Finding the Fourth Proportional to 2,398.69, 3,598.24 and 667.31

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Solution

The fourth proportional to 2,398.69, 3,598.24 and 667.31 is: 1,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.69 : 3,598.24 = 667.31 : x
  2. Step 2: Convert to fraction form
    2,398.69/3,598.24 = 667.31/x
  3. Step 3: Cross multiply
    2,398.69x = 3,598.24 × 667.31
  4. Step 4: Simplify right side
    2,398.69x = 2,401,148.86
  5. Step 5: Solve for x
    x = 2,401,148.86/2,398.69
  6. Step 6: Final answer
    x = 1,001.03

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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.