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Finding the Fourth Proportional to 2,247.21, 3,369.69 and 686.79

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Solution

The fourth proportional to 2,247.21, 3,369.69 and 686.79 is: 1,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.21 : 3,369.69 = 686.79 : x
  2. Step 2: Convert to fraction form
    2,247.21/3,369.69 = 686.79/x
  3. Step 3: Cross multiply
    2,247.21x = 3,369.69 × 686.79
  4. Step 4: Simplify right side
    2,247.21x = 2,314,269.40
  5. Step 5: Solve for x
    x = 2,314,269.40/2,247.21
  6. Step 6: Final answer
    x = 1,029.84

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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.