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Finding the Fourth Proportional to 1,524.56, 2,103.90 and 825.94

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Solution

The fourth proportional to 1,524.56, 2,103.90 and 825.94 is: 1,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.56 : 2,103.90 = 825.94 : x
  2. Step 2: Convert to fraction form
    1,524.56/2,103.90 = 825.94/x
  3. Step 3: Cross multiply
    1,524.56x = 2,103.90 × 825.94
  4. Step 4: Simplify right side
    1,524.56x = 1,737,695.17
  5. Step 5: Solve for x
    x = 1,737,695.17/1,524.56
  6. Step 6: Final answer
    x = 1,139.80

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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.