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Finding the Fourth Proportional to 2,797.68, 3,861.18 and 2,097.84

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Solution

The fourth proportional to 2,797.68, 3,861.18 and 2,097.84 is: 2,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.68 : 3,861.18 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    2,797.68/3,861.18 = 2,097.84/x
  3. Step 3: Cross multiply
    2,797.68x = 3,861.18 × 2,097.84
  4. Step 4: Simplify right side
    2,797.68x = 8,100,137.85
  5. Step 5: Solve for x
    x = 8,100,137.85/2,797.68
  6. Step 6: Final answer
    x = 2,895.31

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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.