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Finding the Fourth Proportional to 2,248.21, 3,372.27 and 709.21

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Solution

The fourth proportional to 2,248.21, 3,372.27 and 709.21 is: 1,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.21 : 3,372.27 = 709.21 : x
  2. Step 2: Convert to fraction form
    2,248.21/3,372.27 = 709.21/x
  3. Step 3: Cross multiply
    2,248.21x = 3,372.27 × 709.21
  4. Step 4: Simplify right side
    2,248.21x = 2,391,647.61
  5. Step 5: Solve for x
    x = 2,391,647.61/2,248.21
  6. Step 6: Final answer
    x = 1,063.80

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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.