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Finding the Fourth Proportional to 2,777.91, 4,162.25 and 1,954.46

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Solution

The fourth proportional to 2,777.91, 4,162.25 and 1,954.46 is: 2,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.91 : 4,162.25 = 1,954.46 : x
  2. Step 2: Convert to fraction form
    2,777.91/4,162.25 = 1,954.46/x
  3. Step 3: Cross multiply
    2,777.91x = 4,162.25 × 1,954.46
  4. Step 4: Simplify right side
    2,777.91x = 8,134,930.32
  5. Step 5: Solve for x
    x = 8,134,930.32/2,777.91
  6. Step 6: Final answer
    x = 2,928.44

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1.5x scale

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.