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Finding the Fourth Proportional to 1,524.09, 2,103.12 and 861

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Solution

The fourth proportional to 1,524.09, 2,103.12 and 861 is: 1,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.09 : 2,103.12 = 861 : x
  2. Step 2: Convert to fraction form
    1,524.09/2,103.12 = 861/x
  3. Step 3: Cross multiply
    1,524.09x = 2,103.12 × 861
  4. Step 4: Simplify right side
    1,524.09x = 1,810,786.32
  5. Step 5: Solve for x
    x = 1,810,786.32/1,524.09
  6. Step 6: Final answer
    x = 1,188.11

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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.