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Finding the Fourth Proportional to 1,435.14, 2,151.90 and 850.23

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Solution

The fourth proportional to 1,435.14, 2,151.90 and 850.23 is: 1,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.14 : 2,151.90 = 850.23 : x
  2. Step 2: Convert to fraction form
    1,435.14/2,151.90 = 850.23/x
  3. Step 3: Cross multiply
    1,435.14x = 2,151.90 × 850.23
  4. Step 4: Simplify right side
    1,435.14x = 1,829,609.94
  5. Step 5: Solve for x
    x = 1,829,609.94/1,435.14
  6. Step 6: Final answer
    x = 1,274.87

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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.