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Finding the Fourth Proportional to 1,522.82, 2,282.40 and 791.98

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Solution

The fourth proportional to 1,522.82, 2,282.40 and 791.98 is: 1,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.82 : 2,282.40 = 791.98 : x
  2. Step 2: Convert to fraction form
    1,522.82/2,282.40 = 791.98/x
  3. Step 3: Cross multiply
    1,522.82x = 2,282.40 × 791.98
  4. Step 4: Simplify right side
    1,522.82x = 1,807,615.15
  5. Step 5: Solve for x
    x = 1,807,615.15/1,522.82
  6. Step 6: Final answer
    x = 1,187.02

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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.