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Finding the Fourth Proportional to 2,502.75, 3,745.98 and 1,331.07

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Solution

The fourth proportional to 2,502.75, 3,745.98 and 1,331.07 is: 1,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.75 : 3,745.98 = 1,331.07 : x
  2. Step 2: Convert to fraction form
    2,502.75/3,745.98 = 1,331.07/x
  3. Step 3: Cross multiply
    2,502.75x = 3,745.98 × 1,331.07
  4. Step 4: Simplify right side
    2,502.75x = 4,986,161.60
  5. Step 5: Solve for x
    x = 4,986,161.60/2,502.75
  6. Step 6: Final answer
    x = 1,992.27

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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.