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Finding the Fourth Proportional to 1,524.20, 2,103.30 and 861

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Solution

The fourth proportional to 1,524.20, 2,103.30 and 861 is: 1,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.20 : 2,103.30 = 861 : x
  2. Step 2: Convert to fraction form
    1,524.20/2,103.30 = 861/x
  3. Step 3: Cross multiply
    1,524.20x = 2,103.30 × 861
  4. Step 4: Simplify right side
    1,524.20x = 1,810,941.30
  5. Step 5: Solve for x
    x = 1,810,941.30/1,524.20
  6. Step 6: Final answer
    x = 1,188.13

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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.