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Finding the Fourth Proportional to 2,566.95, 3,850.43 and 2,458.95

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Solution

The fourth proportional to 2,566.95, 3,850.43 and 2,458.95 is: 3,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.95 : 3,850.43 = 2,458.95 : x
  2. Step 2: Convert to fraction form
    2,566.95/3,850.43 = 2,458.95/x
  3. Step 3: Cross multiply
    2,566.95x = 3,850.43 × 2,458.95
  4. Step 4: Simplify right side
    2,566.95x = 9,468,002.55
  5. Step 5: Solve for x
    x = 9,468,002.55/2,566.95
  6. Step 6: Final answer
    x = 3,688.43

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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.