Home / 1,401.38-2,102.43-427.58

Finding the Fourth Proportional to 1,401.38, 2,102.43 and 427.58

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Solution

The fourth proportional to 1,401.38, 2,102.43 and 427.58 is: 641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.38 : 2,102.43 = 427.58 : x
  2. Step 2: Convert to fraction form
    1,401.38/2,102.43 = 427.58/x
  3. Step 3: Cross multiply
    1,401.38x = 2,102.43 × 427.58
  4. Step 4: Simplify right side
    1,401.38x = 898,957.02
  5. Step 5: Solve for x
    x = 898,957.02/1,401.38
  6. Step 6: Final answer
    x = 641.48

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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.