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Finding the Fourth Proportional to 2,050.43, 3,074.43 and 955.04

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Solution

The fourth proportional to 2,050.43, 3,074.43 and 955.04 is: 1,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.43 : 3,074.43 = 955.04 : x
  2. Step 2: Convert to fraction form
    2,050.43/3,074.43 = 955.04/x
  3. Step 3: Cross multiply
    2,050.43x = 3,074.43 × 955.04
  4. Step 4: Simplify right side
    2,050.43x = 2,936,198.85
  5. Step 5: Solve for x
    x = 2,936,198.85/2,050.43
  6. Step 6: Final answer
    x = 1,431.99

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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.