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Finding the Fourth Proportional to 2,771.95, 3,825.76 and 2,647.39

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Solution

The fourth proportional to 2,771.95, 3,825.76 and 2,647.39 is: 3,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.95 : 3,825.76 = 2,647.39 : x
  2. Step 2: Convert to fraction form
    2,771.95/3,825.76 = 2,647.39/x
  3. Step 3: Cross multiply
    2,771.95x = 3,825.76 × 2,647.39
  4. Step 4: Simplify right side
    2,771.95x = 10,128,246.40
  5. Step 5: Solve for x
    x = 10,128,246.40/2,771.95
  6. Step 6: Final answer
    x = 3,653.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.