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Finding the Fourth Proportional to 2,008.88, 3,009 and 1,986.74

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Solution

The fourth proportional to 2,008.88, 3,009 and 1,986.74 is: 2,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.88 : 3,009 = 1,986.74 : x
  2. Step 2: Convert to fraction form
    2,008.88/3,009 = 1,986.74/x
  3. Step 3: Cross multiply
    2,008.88x = 3,009 × 1,986.74
  4. Step 4: Simplify right side
    2,008.88x = 5,978,100.66
  5. Step 5: Solve for x
    x = 5,978,100.66/2,008.88
  6. Step 6: Final answer
    x = 2,975.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.