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Finding the Fourth Proportional to 2,797.32, 3,861 and 1,619.16

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Solution

The fourth proportional to 2,797.32, 3,861 and 1,619.16 is: 2,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.32 : 3,861 = 1,619.16 : x
  2. Step 2: Convert to fraction form
    2,797.32/3,861 = 1,619.16/x
  3. Step 3: Cross multiply
    2,797.32x = 3,861 × 1,619.16
  4. Step 4: Simplify right side
    2,797.32x = 6,251,576.76
  5. Step 5: Solve for x
    x = 6,251,576.76/2,797.32
  6. Step 6: Final answer
    x = 2,234.85

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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.