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Finding the Fourth Proportional to 2,560.26, 3,840.39 and 829.02

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Solution

The fourth proportional to 2,560.26, 3,840.39 and 829.02 is: 1,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.26 : 3,840.39 = 829.02 : x
  2. Step 2: Convert to fraction form
    2,560.26/3,840.39 = 829.02/x
  3. Step 3: Cross multiply
    2,560.26x = 3,840.39 × 829.02
  4. Step 4: Simplify right side
    2,560.26x = 3,183,760.12
  5. Step 5: Solve for x
    x = 3,183,760.12/2,560.26
  6. Step 6: Final answer
    x = 1,243.53

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.