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Finding the Fourth Proportional to 1,538, 2,122.48 and 839.36

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Solution

The fourth proportional to 1,538, 2,122.48 and 839.36 is: 1,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 2,122.48 = 839.36 : x
  2. Step 2: Convert to fraction form
    1,538/2,122.48 = 839.36/x
  3. Step 3: Cross multiply
    1,538x = 2,122.48 × 839.36
  4. Step 4: Simplify right side
    1,538x = 1,781,524.81
  5. Step 5: Solve for x
    x = 1,781,524.81/1,538
  6. Step 6: Final answer
    x = 1,158.34

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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.