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Finding the Fourth Proportional to 2,064.64, 2,850.24 and 1,771.44

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Solution

The fourth proportional to 2,064.64, 2,850.24 and 1,771.44 is: 2,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.64 : 2,850.24 = 1,771.44 : x
  2. Step 2: Convert to fraction form
    2,064.64/2,850.24 = 1,771.44/x
  3. Step 3: Cross multiply
    2,064.64x = 2,850.24 × 1,771.44
  4. Step 4: Simplify right side
    2,064.64x = 5,049,029.15
  5. Step 5: Solve for x
    x = 5,049,029.15/2,064.64
  6. Step 6: Final answer
    x = 2,445.48

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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.