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Finding the Fourth Proportional to 2,758.26, 3,801.96 and 2,260.02

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Solution

The fourth proportional to 2,758.26, 3,801.96 and 2,260.02 is: 3,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.26 : 3,801.96 = 2,260.02 : x
  2. Step 2: Convert to fraction form
    2,758.26/3,801.96 = 2,260.02/x
  3. Step 3: Cross multiply
    2,758.26x = 3,801.96 × 2,260.02
  4. Step 4: Simplify right side
    2,758.26x = 8,592,505.64
  5. Step 5: Solve for x
    x = 8,592,505.64/2,758.26
  6. Step 6: Final answer
    x = 3,115.19

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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.