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Finding the Fourth Proportional to 2,769.03, 3,820.37 and 1,650.15

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Solution

The fourth proportional to 2,769.03, 3,820.37 and 1,650.15 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.03 : 3,820.37 = 1,650.15 : x
  2. Step 2: Convert to fraction form
    2,769.03/3,820.37 = 1,650.15/x
  3. Step 3: Cross multiply
    2,769.03x = 3,820.37 × 1,650.15
  4. Step 4: Simplify right side
    2,769.03x = 6,304,175.30
  5. Step 5: Solve for x
    x = 6,304,175.30/2,769.03
  6. Step 6: Final answer
    x = 2,276.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.