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Finding the Fourth Proportional to 2,757.59, 3,803.58 and 2,302.09

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Solution

The fourth proportional to 2,757.59, 3,803.58 and 2,302.09 is: 3,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.59 : 3,803.58 = 2,302.09 : x
  2. Step 2: Convert to fraction form
    2,757.59/3,803.58 = 2,302.09/x
  3. Step 3: Cross multiply
    2,757.59x = 3,803.58 × 2,302.09
  4. Step 4: Simplify right side
    2,757.59x = 8,756,183.48
  5. Step 5: Solve for x
    x = 8,756,183.48/2,757.59
  6. Step 6: Final answer
    x = 3,175.30

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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.