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Finding the Fourth Proportional to 2,560.08, 3,533.04 and 1,512.12

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Solution

The fourth proportional to 2,560.08, 3,533.04 and 1,512.12 is: 2,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.08 : 3,533.04 = 1,512.12 : x
  2. Step 2: Convert to fraction form
    2,560.08/3,533.04 = 1,512.12/x
  3. Step 3: Cross multiply
    2,560.08x = 3,533.04 × 1,512.12
  4. Step 4: Simplify right side
    2,560.08x = 5,342,380.44
  5. Step 5: Solve for x
    x = 5,342,380.44/2,560.08
  6. Step 6: Final answer
    x = 2,086.80

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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.