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Finding the Fourth Proportional to 2,967.74, 4,453.11 and 2,044.06

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Solution

The fourth proportional to 2,967.74, 4,453.11 and 2,044.06 is: 3,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.74 : 4,453.11 = 2,044.06 : x
  2. Step 2: Convert to fraction form
    2,967.74/4,453.11 = 2,044.06/x
  3. Step 3: Cross multiply
    2,967.74x = 4,453.11 × 2,044.06
  4. Step 4: Simplify right side
    2,967.74x = 9,102,424.03
  5. Step 5: Solve for x
    x = 9,102,424.03/2,967.74
  6. Step 6: Final answer
    x = 3,067.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.