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Finding the Fourth Proportional to 1,524.34, 2,103.46 and 861.25

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Solution

The fourth proportional to 1,524.34, 2,103.46 and 861.25 is: 1,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.34 : 2,103.46 = 861.25 : x
  2. Step 2: Convert to fraction form
    1,524.34/2,103.46 = 861.25/x
  3. Step 3: Cross multiply
    1,524.34x = 2,103.46 × 861.25
  4. Step 4: Simplify right side
    1,524.34x = 1,811,604.93
  5. Step 5: Solve for x
    x = 1,811,604.93/1,524.34
  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.