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Finding the Fourth Proportional to 2,769.21, 3,820.23 and 1,649.52

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Solution

The fourth proportional to 2,769.21, 3,820.23 and 1,649.52 is: 2,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.21 : 3,820.23 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    2,769.21/3,820.23 = 1,649.52/x
  3. Step 3: Cross multiply
    2,769.21x = 3,820.23 × 1,649.52
  4. Step 4: Simplify right side
    2,769.21x = 6,301,545.79
  5. Step 5: Solve for x
    x = 6,301,545.79/2,769.21
  6. Step 6: Final answer
    x = 2,275.58

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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.