Home / 1,422.32-2,134.20-653.36

Finding the Fourth Proportional to 1,422.32, 2,134.20 and 653.36

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Solution

The fourth proportional to 1,422.32, 2,134.20 and 653.36 is: 980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.32 : 2,134.20 = 653.36 : x
  2. Step 2: Convert to fraction form
    1,422.32/2,134.20 = 653.36/x
  3. Step 3: Cross multiply
    1,422.32x = 2,134.20 × 653.36
  4. Step 4: Simplify right side
    1,422.32x = 1,394,400.91
  5. Step 5: Solve for x
    x = 1,394,400.91/1,422.32
  6. Step 6: Final answer
    x = 980.37

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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.