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Finding the Fourth Proportional to 1,521.33, 2,281.96 and 827.83

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Solution

The fourth proportional to 1,521.33, 2,281.96 and 827.83 is: 1,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.33 : 2,281.96 = 827.83 : x
  2. Step 2: Convert to fraction form
    1,521.33/2,281.96 = 827.83/x
  3. Step 3: Cross multiply
    1,521.33x = 2,281.96 × 827.83
  4. Step 4: Simplify right side
    1,521.33x = 1,889,074.95
  5. Step 5: Solve for x
    x = 1,889,074.95/1,521.33
  6. Step 6: Final answer
    x = 1,241.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.