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Finding the Fourth Proportional to 2,008.02, 2,771.87 and 1,361.41

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Solution

The fourth proportional to 2,008.02, 2,771.87 and 1,361.41 is: 1,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.02 : 2,771.87 = 1,361.41 : x
  2. Step 2: Convert to fraction form
    2,008.02/2,771.87 = 1,361.41/x
  3. Step 3: Cross multiply
    2,008.02x = 2,771.87 × 1,361.41
  4. Step 4: Simplify right side
    2,008.02x = 3,773,637.71
  5. Step 5: Solve for x
    x = 3,773,637.71/2,008.02
  6. Step 6: Final answer
    x = 1,879.28

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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.