Home / 2,270.34-3,401-1,748.53

Finding the Fourth Proportional to 2,270.34, 3,401 and 1,748.53

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Solution

The fourth proportional to 2,270.34, 3,401 and 1,748.53 is: 2,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.34 : 3,401 = 1,748.53 : x
  2. Step 2: Convert to fraction form
    2,270.34/3,401 = 1,748.53/x
  3. Step 3: Cross multiply
    2,270.34x = 3,401 × 1,748.53
  4. Step 4: Simplify right side
    2,270.34x = 5,946,750.53
  5. Step 5: Solve for x
    x = 5,946,750.53/2,270.34
  6. Step 6: Final answer
    x = 2,619.33

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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.