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Finding the Fourth Proportional to 1,524.54, 2,103.67 and 861.28

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Solution

The fourth proportional to 1,524.54, 2,103.67 and 861.28 is: 1,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.54 : 2,103.67 = 861.28 : x
  2. Step 2: Convert to fraction form
    1,524.54/2,103.67 = 861.28/x
  3. Step 3: Cross multiply
    1,524.54x = 2,103.67 × 861.28
  4. Step 4: Simplify right side
    1,524.54x = 1,811,856.55
  5. Step 5: Solve for x
    x = 1,811,856.55/1,524.54
  6. Step 6: Final answer
    x = 1,188.46

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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.