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Finding the Fourth Proportional to 3,165.44, 4,750.74 and 2,241.90

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Solution

The fourth proportional to 3,165.44, 4,750.74 and 2,241.90 is: 3,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.44 : 4,750.74 = 2,241.90 : x
  2. Step 2: Convert to fraction form
    3,165.44/4,750.74 = 2,241.90/x
  3. Step 3: Cross multiply
    3,165.44x = 4,750.74 × 2,241.90
  4. Step 4: Simplify right side
    3,165.44x = 10,650,684.01
  5. Step 5: Solve for x
    x = 10,650,684.01/3,165.44
  6. Step 6: Final answer
    x = 3,364.68

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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.