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Finding the Fourth Proportional to 2,647.95, 3,651.98 and 1,986.27

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Solution

The fourth proportional to 2,647.95, 3,651.98 and 1,986.27 is: 2,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.95 : 3,651.98 = 1,986.27 : x
  2. Step 2: Convert to fraction form
    2,647.95/3,651.98 = 1,986.27/x
  3. Step 3: Cross multiply
    2,647.95x = 3,651.98 × 1,986.27
  4. Step 4: Simplify right side
    2,647.95x = 7,253,808.38
  5. Step 5: Solve for x
    x = 7,253,808.38/2,647.95
  6. Step 6: Final answer
    x = 2,739.41

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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.