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Finding the Fourth Proportional to 2,311.13, 3,465 and 850.29

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Solution

The fourth proportional to 2,311.13, 3,465 and 850.29 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.13 : 3,465 = 850.29 : x
  2. Step 2: Convert to fraction form
    2,311.13/3,465 = 850.29/x
  3. Step 3: Cross multiply
    2,311.13x = 3,465 × 850.29
  4. Step 4: Simplify right side
    2,311.13x = 2,946,254.85
  5. Step 5: Solve for x
    x = 2,946,254.85/2,311.13
  6. Step 6: Final answer
    x = 1,274.81

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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.