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Finding the Fourth Proportional to 2,189.88, 3,287.70 and 2,008.76

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Solution

The fourth proportional to 2,189.88, 3,287.70 and 2,008.76 is: 3,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.88 : 3,287.70 = 2,008.76 : x
  2. Step 2: Convert to fraction form
    2,189.88/3,287.70 = 2,008.76/x
  3. Step 3: Cross multiply
    2,189.88x = 3,287.70 × 2,008.76
  4. Step 4: Simplify right side
    2,189.88x = 6,604,200.25
  5. Step 5: Solve for x
    x = 6,604,200.25/2,189.88
  6. Step 6: Final answer
    x = 3,015.78

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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.