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Finding the Fourth Proportional to 1,649.82, 2,276.69 and 986.28

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Solution

The fourth proportional to 1,649.82, 2,276.69 and 986.28 is: 1,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.82 : 2,276.69 = 986.28 : x
  2. Step 2: Convert to fraction form
    1,649.82/2,276.69 = 986.28/x
  3. Step 3: Cross multiply
    1,649.82x = 2,276.69 × 986.28
  4. Step 4: Simplify right side
    1,649.82x = 2,245,457.04
  5. Step 5: Solve for x
    x = 2,245,457.04/1,649.82
  6. Step 6: Final answer
    x = 1,361.03

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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.