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Finding the Fourth Proportional to 2,505.34, 3,750.31 and 2,257.48

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Solution

The fourth proportional to 2,505.34, 3,750.31 and 2,257.48 is: 3,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.34 : 3,750.31 = 2,257.48 : x
  2. Step 2: Convert to fraction form
    2,505.34/3,750.31 = 2,257.48/x
  3. Step 3: Cross multiply
    2,505.34x = 3,750.31 × 2,257.48
  4. Step 4: Simplify right side
    2,505.34x = 8,466,249.82
  5. Step 5: Solve for x
    x = 8,466,249.82/2,505.34
  6. Step 6: Final answer
    x = 3,379.28

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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.