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Finding the Fourth Proportional to 2,496.90, 3,741.68 and 1,199.28

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Solution

The fourth proportional to 2,496.90, 3,741.68 and 1,199.28 is: 1,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.90 : 3,741.68 = 1,199.28 : x
  2. Step 2: Convert to fraction form
    2,496.90/3,741.68 = 1,199.28/x
  3. Step 3: Cross multiply
    2,496.90x = 3,741.68 × 1,199.28
  4. Step 4: Simplify right side
    2,496.90x = 4,487,321.99
  5. Step 5: Solve for x
    x = 4,487,321.99/2,496.90
  6. Step 6: Final answer
    x = 1,797.16

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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.