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Finding the Fourth Proportional to 1,566, 2,161.08 and 867.42

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Solution

The fourth proportional to 1,566, 2,161.08 and 867.42 is: 1,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 2,161.08 = 867.42 : x
  2. Step 2: Convert to fraction form
    1,566/2,161.08 = 867.42/x
  3. Step 3: Cross multiply
    1,566x = 2,161.08 × 867.42
  4. Step 4: Simplify right side
    1,566x = 1,874,564.01
  5. Step 5: Solve for x
    x = 1,874,564.01/1,566
  6. Step 6: Final answer
    x = 1,197.04

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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.