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Finding the Fourth Proportional to 2,311.16, 3,466.63 and 850.21

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Solution

The fourth proportional to 2,311.16, 3,466.63 and 850.21 is: 1,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.16 : 3,466.63 = 850.21 : x
  2. Step 2: Convert to fraction form
    2,311.16/3,466.63 = 850.21/x
  3. Step 3: Cross multiply
    2,311.16x = 3,466.63 × 850.21
  4. Step 4: Simplify right side
    2,311.16x = 2,947,363.49
  5. Step 5: Solve for x
    x = 2,947,363.49/2,311.16
  6. Step 6: Final answer
    x = 1,275.27

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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.