Home / 2,422.16-3,342-1,427.36

Finding the Fourth Proportional to 2,422.16, 3,342 and 1,427.36

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Solution

The fourth proportional to 2,422.16, 3,342 and 1,427.36 is: 1,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.16 : 3,342 = 1,427.36 : x
  2. Step 2: Convert to fraction form
    2,422.16/3,342 = 1,427.36/x
  3. Step 3: Cross multiply
    2,422.16x = 3,342 × 1,427.36
  4. Step 4: Simplify right side
    2,422.16x = 4,770,237.12
  5. Step 5: Solve for x
    x = 4,770,237.12/2,422.16
  6. Step 6: Final answer
    x = 1,969.41

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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.