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Finding the Fourth Proportional to 1,524.52, 2,103.83 and 825.89

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Solution

The fourth proportional to 1,524.52, 2,103.83 and 825.89 is: 1,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.52 : 2,103.83 = 825.89 : x
  2. Step 2: Convert to fraction form
    1,524.52/2,103.83 = 825.89/x
  3. Step 3: Cross multiply
    1,524.52x = 2,103.83 × 825.89
  4. Step 4: Simplify right side
    1,524.52x = 1,737,539.48
  5. Step 5: Solve for x
    x = 1,737,539.48/1,524.52
  6. Step 6: Final answer
    x = 1,139.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.