Home / 2,560.26-3,840.38-1,022.34

Finding the Fourth Proportional to 2,560.26, 3,840.38 and 1,022.34

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Solution

The fourth proportional to 2,560.26, 3,840.38 and 1,022.34 is: 1,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.26 : 3,840.38 = 1,022.34 : x
  2. Step 2: Convert to fraction form
    2,560.26/3,840.38 = 1,022.34/x
  3. Step 3: Cross multiply
    2,560.26x = 3,840.38 × 1,022.34
  4. Step 4: Simplify right side
    2,560.26x = 3,926,174.09
  5. Step 5: Solve for x
    x = 3,926,174.09/2,560.26
  6. Step 6: Final answer
    x = 1,533.51

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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.