Home / 2,774.26-4,162.31-1,313.22

Finding the Fourth Proportional to 2,774.26, 4,162.31 and 1,313.22

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Solution

The fourth proportional to 2,774.26, 4,162.31 and 1,313.22 is: 1,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.26 : 4,162.31 = 1,313.22 : x
  2. Step 2: Convert to fraction form
    2,774.26/4,162.31 = 1,313.22/x
  3. Step 3: Cross multiply
    2,774.26x = 4,162.31 × 1,313.22
  4. Step 4: Simplify right side
    2,774.26x = 5,466,028.74
  5. Step 5: Solve for x
    x = 5,466,028.74/2,774.26
  6. Step 6: Final answer
    x = 1,970.27

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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.