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Finding the Fourth Proportional to 2,311.88, 3,465.84 and 850.28

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Solution

The fourth proportional to 2,311.88, 3,465.84 and 850.28 is: 1,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.88 : 3,465.84 = 850.28 : x
  2. Step 2: Convert to fraction form
    2,311.88/3,465.84 = 850.28/x
  3. Step 3: Cross multiply
    2,311.88x = 3,465.84 × 850.28
  4. Step 4: Simplify right side
    2,311.88x = 2,946,934.44
  5. Step 5: Solve for x
    x = 2,946,934.44/2,311.88
  6. Step 6: Final answer
    x = 1,274.69

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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.