Home / 1,401.20-2,103.36-824.48

Finding the Fourth Proportional to 1,401.20, 2,103.36 and 824.48

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Solution

The fourth proportional to 1,401.20, 2,103.36 and 824.48 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.20 : 2,103.36 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,401.20/2,103.36 = 824.48/x
  3. Step 3: Cross multiply
    1,401.20x = 2,103.36 × 824.48
  4. Step 4: Simplify right side
    1,401.20x = 1,734,178.25
  5. Step 5: Solve for x
    x = 1,734,178.25/1,401.20
  6. Step 6: Final answer
    x = 1,237.64

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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.