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Finding the Fourth Proportional to 1,515.80, 2,272.41 and 996.45

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Solution

The fourth proportional to 1,515.80, 2,272.41 and 996.45 is: 1,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.80 : 2,272.41 = 996.45 : x
  2. Step 2: Convert to fraction form
    1,515.80/2,272.41 = 996.45/x
  3. Step 3: Cross multiply
    1,515.80x = 2,272.41 × 996.45
  4. Step 4: Simplify right side
    1,515.80x = 2,264,342.94
  5. Step 5: Solve for x
    x = 2,264,342.94/1,515.80
  6. Step 6: Final answer
    x = 1,493.83

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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.