Home / 1,347.41-2,021.06-422.96

Finding the Fourth Proportional to 1,347.41, 2,021.06 and 422.96

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Solution

The fourth proportional to 1,347.41, 2,021.06 and 422.96 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.41 : 2,021.06 = 422.96 : x
  2. Step 2: Convert to fraction form
    1,347.41/2,021.06 = 422.96/x
  3. Step 3: Cross multiply
    1,347.41x = 2,021.06 × 422.96
  4. Step 4: Simplify right side
    1,347.41x = 854,818.49
  5. Step 5: Solve for x
    x = 854,818.49/1,347.41
  6. Step 6: Final answer
    x = 634.41

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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.