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Finding the Fourth Proportional to 2,455.54, 3,682.28 and 812.22

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Solution

The fourth proportional to 2,455.54, 3,682.28 and 812.22 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.54 : 3,682.28 = 812.22 : x
  2. Step 2: Convert to fraction form
    2,455.54/3,682.28 = 812.22/x
  3. Step 3: Cross multiply
    2,455.54x = 3,682.28 × 812.22
  4. Step 4: Simplify right side
    2,455.54x = 2,990,821.46
  5. Step 5: Solve for x
    x = 2,990,821.46/2,455.54
  6. Step 6: Final answer
    x = 1,217.99

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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.