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Finding the Fourth Proportional to 2,247.16, 3,369.33 and 686.64

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Solution

The fourth proportional to 2,247.16, 3,369.33 and 686.64 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.16 : 3,369.33 = 686.64 : x
  2. Step 2: Convert to fraction form
    2,247.16/3,369.33 = 686.64/x
  3. Step 3: Cross multiply
    2,247.16x = 3,369.33 × 686.64
  4. Step 4: Simplify right side
    2,247.16x = 2,313,521.14
  5. Step 5: Solve for x
    x = 2,313,521.14/2,247.16
  6. Step 6: Final answer
    x = 1,029.53

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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.