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Finding the Fourth Proportional to 3,106.44, 4,285.44 and 2,164.55

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Solution

The fourth proportional to 3,106.44, 4,285.44 and 2,164.55 is: 2,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.44 : 4,285.44 = 2,164.55 : x
  2. Step 2: Convert to fraction form
    3,106.44/4,285.44 = 2,164.55/x
  3. Step 3: Cross multiply
    3,106.44x = 4,285.44 × 2,164.55
  4. Step 4: Simplify right side
    3,106.44x = 9,276,027.72
  5. Step 5: Solve for x
    x = 9,276,027.72/3,106.44
  6. Step 6: Final answer
    x = 2,986.06

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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.