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Finding the Fourth Proportional to 2,774.37, 4,150.16 and 2,531.07

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Solution

The fourth proportional to 2,774.37, 4,150.16 and 2,531.07 is: 3,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.37 : 4,150.16 = 2,531.07 : x
  2. Step 2: Convert to fraction form
    2,774.37/4,150.16 = 2,531.07/x
  3. Step 3: Cross multiply
    2,774.37x = 4,150.16 × 2,531.07
  4. Step 4: Simplify right side
    2,774.37x = 10,504,345.47
  5. Step 5: Solve for x
    x = 10,504,345.47/2,774.37
  6. Step 6: Final answer
    x = 3,786.21

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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.