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Finding the Fourth Proportional to 2,838.85, 4,236.10 and 2,247.14

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Solution

The fourth proportional to 2,838.85, 4,236.10 and 2,247.14 is: 3,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.85 : 4,236.10 = 2,247.14 : x
  2. Step 2: Convert to fraction form
    2,838.85/4,236.10 = 2,247.14/x
  3. Step 3: Cross multiply
    2,838.85x = 4,236.10 × 2,247.14
  4. Step 4: Simplify right side
    2,838.85x = 9,519,114.73
  5. Step 5: Solve for x
    x = 9,519,114.73/2,838.85
  6. Step 6: Final answer
    x = 3,353.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.