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Finding the Fourth Proportional to 3,052.44, 4,210.86 and 2,056.44

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Solution

The fourth proportional to 3,052.44, 4,210.86 and 2,056.44 is: 2,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.44 : 4,210.86 = 2,056.44 : x
  2. Step 2: Convert to fraction form
    3,052.44/4,210.86 = 2,056.44/x
  3. Step 3: Cross multiply
    3,052.44x = 4,210.86 × 2,056.44
  4. Step 4: Simplify right side
    3,052.44x = 8,659,380.94
  5. Step 5: Solve for x
    x = 8,659,380.94/3,052.44
  6. Step 6: Final answer
    x = 2,836.87

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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.