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Finding the Fourth Proportional to 2,189.86, 3,022.10 and 1,245.82

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Solution

The fourth proportional to 2,189.86, 3,022.10 and 1,245.82 is: 1,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.86 : 3,022.10 = 1,245.82 : x
  2. Step 2: Convert to fraction form
    2,189.86/3,022.10 = 1,245.82/x
  3. Step 3: Cross multiply
    2,189.86x = 3,022.10 × 1,245.82
  4. Step 4: Simplify right side
    2,189.86x = 3,764,987.29
  5. Step 5: Solve for x
    x = 3,764,987.29/2,189.86
  6. Step 6: Final answer
    x = 1,719.28

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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.