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Finding the Fourth Proportional to 2,299.68, 3,173.84 and 1,517.24

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Solution

The fourth proportional to 2,299.68, 3,173.84 and 1,517.24 is: 2,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,173.84 = 1,517.24 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,173.84 = 1,517.24/x
  3. Step 3: Cross multiply
    2,299.68x = 3,173.84 × 1,517.24
  4. Step 4: Simplify right side
    2,299.68x = 4,815,477.00
  5. Step 5: Solve for x
    x = 4,815,477.00/2,299.68
  6. Step 6: Final answer
    x = 2,093.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.