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Finding the Fourth Proportional to 2,767.91, 3,820.26 and 1,649.50

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Solution

The fourth proportional to 2,767.91, 3,820.26 and 1,649.50 is: 2,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.91 : 3,820.26 = 1,649.50 : x
  2. Step 2: Convert to fraction form
    2,767.91/3,820.26 = 1,649.50/x
  3. Step 3: Cross multiply
    2,767.91x = 3,820.26 × 1,649.50
  4. Step 4: Simplify right side
    2,767.91x = 6,301,515.50
  5. Step 5: Solve for x
    x = 6,301,515.50/2,767.91
  6. Step 6: Final answer
    x = 2,276.64

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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.