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Finding the Fourth Proportional to 2,255.41, 3,384.08 and 1,214.20

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Solution

The fourth proportional to 2,255.41, 3,384.08 and 1,214.20 is: 1,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.41 : 3,384.08 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    2,255.41/3,384.08 = 1,214.20/x
  3. Step 3: Cross multiply
    2,255.41x = 3,384.08 × 1,214.20
  4. Step 4: Simplify right side
    2,255.41x = 4,108,949.94
  5. Step 5: Solve for x
    x = 4,108,949.94/2,255.41
  6. Step 6: Final answer
    x = 1,821.82

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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.