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Finding the Fourth Proportional to 2,050.17, 3,074.81 and 817.26

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Solution

The fourth proportional to 2,050.17, 3,074.81 and 817.26 is: 1,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.17 : 3,074.81 = 817.26 : x
  2. Step 2: Convert to fraction form
    2,050.17/3,074.81 = 817.26/x
  3. Step 3: Cross multiply
    2,050.17x = 3,074.81 × 817.26
  4. Step 4: Simplify right side
    2,050.17x = 2,512,915.13
  5. Step 5: Solve for x
    x = 2,512,915.13/2,050.17
  6. Step 6: Final answer
    x = 1,225.71

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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.