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Finding the Fourth Proportional to 2,528.30, 3,791.36 and 795.98

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Solution

The fourth proportional to 2,528.30, 3,791.36 and 795.98 is: 1,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.30 : 3,791.36 = 795.98 : x
  2. Step 2: Convert to fraction form
    2,528.30/3,791.36 = 795.98/x
  3. Step 3: Cross multiply
    2,528.30x = 3,791.36 × 795.98
  4. Step 4: Simplify right side
    2,528.30x = 3,017,846.73
  5. Step 5: Solve for x
    x = 3,017,846.73/2,528.30
  6. Step 6: Final answer
    x = 1,193.63

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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.