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Finding the Fourth Proportional to 1,524.44, 2,103.73 and 825.81

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Solution

The fourth proportional to 1,524.44, 2,103.73 and 825.81 is: 1,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.44 : 2,103.73 = 825.81 : x
  2. Step 2: Convert to fraction form
    1,524.44/2,103.73 = 825.81/x
  3. Step 3: Cross multiply
    1,524.44x = 2,103.73 × 825.81
  4. Step 4: Simplify right side
    1,524.44x = 1,737,281.27
  5. Step 5: Solve for x
    x = 1,737,281.27/1,524.44
  6. Step 6: Final answer
    x = 1,139.62

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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.