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Finding the Fourth Proportional to 2,797.98, 3,856.46 and 1,912.24

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Solution

The fourth proportional to 2,797.98, 3,856.46 and 1,912.24 is: 2,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.98 : 3,856.46 = 1,912.24 : x
  2. Step 2: Convert to fraction form
    2,797.98/3,856.46 = 1,912.24/x
  3. Step 3: Cross multiply
    2,797.98x = 3,856.46 × 1,912.24
  4. Step 4: Simplify right side
    2,797.98x = 7,374,477.07
  5. Step 5: Solve for x
    x = 7,374,477.07/2,797.98
  6. Step 6: Final answer
    x = 2,635.64

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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.