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Finding the Fourth Proportional to 2,996.55, 4,496.49 and 1,147.95

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Solution

The fourth proportional to 2,996.55, 4,496.49 and 1,147.95 is: 1,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.55 : 4,496.49 = 1,147.95 : x
  2. Step 2: Convert to fraction form
    2,996.55/4,496.49 = 1,147.95/x
  3. Step 3: Cross multiply
    2,996.55x = 4,496.49 × 1,147.95
  4. Step 4: Simplify right side
    2,996.55x = 5,161,745.70
  5. Step 5: Solve for x
    x = 5,161,745.70/2,996.55
  6. Step 6: Final answer
    x = 1,722.56

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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.