Home / 2,261.34-3,120.48-1,422

Finding the Fourth Proportional to 2,261.34, 3,120.48 and 1,422

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Solution

The fourth proportional to 2,261.34, 3,120.48 and 1,422 is: 1,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.34 : 3,120.48 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,261.34/3,120.48 = 1,422/x
  3. Step 3: Cross multiply
    2,261.34x = 3,120.48 × 1,422
  4. Step 4: Simplify right side
    2,261.34x = 4,437,322.56
  5. Step 5: Solve for x
    x = 4,437,322.56/2,261.34
  6. Step 6: Final answer
    x = 1,962.25

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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.