Home / 1,420.21-2,128.34-725.41

Finding the Fourth Proportional to 1,420.21, 2,128.34 and 725.41

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Solution

The fourth proportional to 1,420.21, 2,128.34 and 725.41 is: 1,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.21 : 2,128.34 = 725.41 : x
  2. Step 2: Convert to fraction form
    1,420.21/2,128.34 = 725.41/x
  3. Step 3: Cross multiply
    1,420.21x = 2,128.34 × 725.41
  4. Step 4: Simplify right side
    1,420.21x = 1,543,915.61
  5. Step 5: Solve for x
    x = 1,543,915.61/1,420.21
  6. Step 6: Final answer
    x = 1,087.11

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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.