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Finding the Fourth Proportional to 3,123.46, 4,310.69 and 2,336.14

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Solution

The fourth proportional to 3,123.46, 4,310.69 and 2,336.14 is: 3,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.46 : 4,310.69 = 2,336.14 : x
  2. Step 2: Convert to fraction form
    3,123.46/4,310.69 = 2,336.14/x
  3. Step 3: Cross multiply
    3,123.46x = 4,310.69 × 2,336.14
  4. Step 4: Simplify right side
    3,123.46x = 10,070,375.34
  5. Step 5: Solve for x
    x = 10,070,375.34/3,123.46
  6. Step 6: Final answer
    x = 3,224.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.