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Finding the Fourth Proportional to 1,524.50, 2,103.70 and 861.22

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Solution

The fourth proportional to 1,524.50, 2,103.70 and 861.22 is: 1,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.50 : 2,103.70 = 861.22 : x
  2. Step 2: Convert to fraction form
    1,524.50/2,103.70 = 861.22/x
  3. Step 3: Cross multiply
    1,524.50x = 2,103.70 × 861.22
  4. Step 4: Simplify right side
    1,524.50x = 1,811,748.51
  5. Step 5: Solve for x
    x = 1,811,748.51/1,524.50
  6. Step 6: Final answer
    x = 1,188.42

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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.