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Finding the Fourth Proportional to 1,649.59, 2,276.36 and 986.80

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Solution

The fourth proportional to 1,649.59, 2,276.36 and 986.80 is: 1,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.59 : 2,276.36 = 986.80 : x
  2. Step 2: Convert to fraction form
    1,649.59/2,276.36 = 986.80/x
  3. Step 3: Cross multiply
    1,649.59x = 2,276.36 × 986.80
  4. Step 4: Simplify right side
    1,649.59x = 2,246,312.05
  5. Step 5: Solve for x
    x = 2,246,312.05/1,649.59
  6. Step 6: Final answer
    x = 1,361.74

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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.