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Finding the Fourth Proportional to 2,197, 3,032.22 and 1,266.04

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Solution

The fourth proportional to 2,197, 3,032.22 and 1,266.04 is: 1,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197 : 3,032.22 = 1,266.04 : x
  2. Step 2: Convert to fraction form
    2,197/3,032.22 = 1,266.04/x
  3. Step 3: Cross multiply
    2,197x = 3,032.22 × 1,266.04
  4. Step 4: Simplify right side
    2,197x = 3,838,911.81
  5. Step 5: Solve for x
    x = 3,838,911.81/2,197
  6. Step 6: Final answer
    x = 1,747.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.