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Finding the Fourth Proportional to 1,391.26, 1,919.17 and 886.17

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Solution

The fourth proportional to 1,391.26, 1,919.17 and 886.17 is: 1,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.26 : 1,919.17 = 886.17 : x
  2. Step 2: Convert to fraction form
    1,391.26/1,919.17 = 886.17/x
  3. Step 3: Cross multiply
    1,391.26x = 1,919.17 × 886.17
  4. Step 4: Simplify right side
    1,391.26x = 1,700,703.87
  5. Step 5: Solve for x
    x = 1,700,703.87/1,391.26
  6. Step 6: Final answer
    x = 1,222.42

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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.