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Finding the Fourth Proportional to 2,270.80, 3,401.41 and 1,039.24

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Solution

The fourth proportional to 2,270.80, 3,401.41 and 1,039.24 is: 1,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.80 : 3,401.41 = 1,039.24 : x
  2. Step 2: Convert to fraction form
    2,270.80/3,401.41 = 1,039.24/x
  3. Step 3: Cross multiply
    2,270.80x = 3,401.41 × 1,039.24
  4. Step 4: Simplify right side
    2,270.80x = 3,534,876.13
  5. Step 5: Solve for x
    x = 3,534,876.13/2,270.80
  6. Step 6: Final answer
    x = 1,556.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.