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Finding the Fourth Proportional to 2,738.36, 4,111.64 and 2,188.92

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Solution

The fourth proportional to 2,738.36, 4,111.64 and 2,188.92 is: 3,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.36 : 4,111.64 = 2,188.92 : x
  2. Step 2: Convert to fraction form
    2,738.36/4,111.64 = 2,188.92/x
  3. Step 3: Cross multiply
    2,738.36x = 4,111.64 × 2,188.92
  4. Step 4: Simplify right side
    2,738.36x = 9,000,051.03
  5. Step 5: Solve for x
    x = 9,000,051.03/2,738.36
  6. Step 6: Final answer
    x = 3,286.66

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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.