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Finding the Fourth Proportional to 2,111, 3,164.04 and 1,245.92

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Solution

The fourth proportional to 2,111, 3,164.04 and 1,245.92 is: 1,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111 : 3,164.04 = 1,245.92 : x
  2. Step 2: Convert to fraction form
    2,111/3,164.04 = 1,245.92/x
  3. Step 3: Cross multiply
    2,111x = 3,164.04 × 1,245.92
  4. Step 4: Simplify right side
    2,111x = 3,942,140.72
  5. Step 5: Solve for x
    x = 3,942,140.72/2,111
  6. Step 6: Final answer
    x = 1,867.43

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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.