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Finding the Fourth Proportional to 2,629.71, 3,629.12 and 1,450.71

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Solution

The fourth proportional to 2,629.71, 3,629.12 and 1,450.71 is: 2,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.71 : 3,629.12 = 1,450.71 : x
  2. Step 2: Convert to fraction form
    2,629.71/3,629.12 = 1,450.71/x
  3. Step 3: Cross multiply
    2,629.71x = 3,629.12 × 1,450.71
  4. Step 4: Simplify right side
    2,629.71x = 5,264,793.42
  5. Step 5: Solve for x
    x = 5,264,793.42/2,629.71
  6. Step 6: Final answer
    x = 2,002.04

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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.