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Finding the Fourth Proportional to 2,777.49, 3,832.97 and 1,881.50

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Solution

The fourth proportional to 2,777.49, 3,832.97 and 1,881.50 is: 2,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.49 : 3,832.97 = 1,881.50 : x
  2. Step 2: Convert to fraction form
    2,777.49/3,832.97 = 1,881.50/x
  3. Step 3: Cross multiply
    2,777.49x = 3,832.97 × 1,881.50
  4. Step 4: Simplify right side
    2,777.49x = 7,211,735.68
  5. Step 5: Solve for x
    x = 7,211,735.68/2,777.49
  6. Step 6: Final answer
    x = 2,596.50

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1.5x scale

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.