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Finding the Fourth Proportional to 2,933.69, 4,401.14 and 987.26

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Solution

The fourth proportional to 2,933.69, 4,401.14 and 987.26 is: 1,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.69 : 4,401.14 = 987.26 : x
  2. Step 2: Convert to fraction form
    2,933.69/4,401.14 = 987.26/x
  3. Step 3: Cross multiply
    2,933.69x = 4,401.14 × 987.26
  4. Step 4: Simplify right side
    2,933.69x = 4,345,042.53
  5. Step 5: Solve for x
    x = 4,345,042.53/2,933.69
  6. Step 6: Final answer
    x = 1,481.09

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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.