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Finding the Fourth Proportional to 2,029.22, 3,044.42 and 797.21

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Solution

The fourth proportional to 2,029.22, 3,044.42 and 797.21 is: 1,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 3,044.42 = 797.21 : x
  2. Step 2: Convert to fraction form
    2,029.22/3,044.42 = 797.21/x
  3. Step 3: Cross multiply
    2,029.22x = 3,044.42 × 797.21
  4. Step 4: Simplify right side
    2,029.22x = 2,427,038.08
  5. Step 5: Solve for x
    x = 2,427,038.08/2,029.22
  6. Step 6: Final answer
    x = 1,196.04

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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.