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Finding the Fourth Proportional to 2,774.38, 4,150.14 and 2,531.08

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Solution

The fourth proportional to 2,774.38, 4,150.14 and 2,531.08 is: 3,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.38 : 4,150.14 = 2,531.08 : x
  2. Step 2: Convert to fraction form
    2,774.38/4,150.14 = 2,531.08/x
  3. Step 3: Cross multiply
    2,774.38x = 4,150.14 × 2,531.08
  4. Step 4: Simplify right side
    2,774.38x = 10,504,336.35
  5. Step 5: Solve for x
    x = 10,504,336.35/2,774.38
  6. Step 6: Final answer
    x = 3,786.19

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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.