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Finding the Fourth Proportional to 1,909.37, 2,847.25 and 1,777.95

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Solution

The fourth proportional to 1,909.37, 2,847.25 and 1,777.95 is: 2,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.37 : 2,847.25 = 1,777.95 : x
  2. Step 2: Convert to fraction form
    1,909.37/2,847.25 = 1,777.95/x
  3. Step 3: Cross multiply
    1,909.37x = 2,847.25 × 1,777.95
  4. Step 4: Simplify right side
    1,909.37x = 5,062,270.36
  5. Step 5: Solve for x
    x = 5,062,270.36/1,909.37
  6. Step 6: Final answer
    x = 2,651.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.