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Finding the Fourth Proportional to 2,516.93, 3,775.74 and 850.55

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Solution

The fourth proportional to 2,516.93, 3,775.74 and 850.55 is: 1,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.93 : 3,775.74 = 850.55 : x
  2. Step 2: Convert to fraction form
    2,516.93/3,775.74 = 850.55/x
  3. Step 3: Cross multiply
    2,516.93x = 3,775.74 × 850.55
  4. Step 4: Simplify right side
    2,516.93x = 3,211,436.78
  5. Step 5: Solve for x
    x = 3,211,436.78/2,516.93
  6. Step 6: Final answer
    x = 1,275.94

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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.