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Finding the Fourth Proportional to 2,729.99, 4,096.80 and 1,414.95

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Solution

The fourth proportional to 2,729.99, 4,096.80 and 1,414.95 is: 2,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.99 : 4,096.80 = 1,414.95 : x
  2. Step 2: Convert to fraction form
    2,729.99/4,096.80 = 1,414.95/x
  3. Step 3: Cross multiply
    2,729.99x = 4,096.80 × 1,414.95
  4. Step 4: Simplify right side
    2,729.99x = 5,796,767.16
  5. Step 5: Solve for x
    x = 5,796,767.16/2,729.99
  6. Step 6: Final answer
    x = 2,123.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.