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Finding the Fourth Proportional to 2,769.50, 3,820.19 and 1,649.67

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Solution

The fourth proportional to 2,769.50, 3,820.19 and 1,649.67 is: 2,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.50 : 3,820.19 = 1,649.67 : x
  2. Step 2: Convert to fraction form
    2,769.50/3,820.19 = 1,649.67/x
  3. Step 3: Cross multiply
    2,769.50x = 3,820.19 × 1,649.67
  4. Step 4: Simplify right side
    2,769.50x = 6,302,044.59
  5. Step 5: Solve for x
    x = 6,302,044.59/2,769.50
  6. Step 6: Final answer
    x = 2,275.52

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