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Finding the Fourth Proportional to 2,783.44, 4,150.24 and 2,734.24

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Solution

The fourth proportional to 2,783.44, 4,150.24 and 2,734.24 is: 4,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.44 : 4,150.24 = 2,734.24 : x
  2. Step 2: Convert to fraction form
    2,783.44/4,150.24 = 2,734.24/x
  3. Step 3: Cross multiply
    2,783.44x = 4,150.24 × 2,734.24
  4. Step 4: Simplify right side
    2,783.44x = 11,347,752.22
  5. Step 5: Solve for x
    x = 11,347,752.22/2,783.44
  6. Step 6: Final answer
    x = 4,076.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.