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Finding the Fourth Proportional to 2,516.42, 3,774.85 and 850.50

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Solution

The fourth proportional to 2,516.42, 3,774.85 and 850.50 is: 1,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.42 : 3,774.85 = 850.50 : x
  2. Step 2: Convert to fraction form
    2,516.42/3,774.85 = 850.50/x
  3. Step 3: Cross multiply
    2,516.42x = 3,774.85 × 850.50
  4. Step 4: Simplify right side
    2,516.42x = 3,210,512.58
  5. Step 5: Solve for x
    x = 3,210,512.58/2,516.42
  6. Step 6: Final answer
    x = 1,275.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.