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Finding the Fourth Proportional to 3,093.60, 4,632.72 and 2,164.82

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Solution

The fourth proportional to 3,093.60, 4,632.72 and 2,164.82 is: 3,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.60 : 4,632.72 = 2,164.82 : x
  2. Step 2: Convert to fraction form
    3,093.60/4,632.72 = 2,164.82/x
  3. Step 3: Cross multiply
    3,093.60x = 4,632.72 × 2,164.82
  4. Step 4: Simplify right side
    3,093.60x = 10,028,973.63
  5. Step 5: Solve for x
    x = 10,028,973.63/3,093.60
  6. Step 6: Final answer
    x = 3,241.84

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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.