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Finding the Fourth Proportional to 2,241.64, 3,357.32 and 1,072.46

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Solution

The fourth proportional to 2,241.64, 3,357.32 and 1,072.46 is: 1,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.64 : 3,357.32 = 1,072.46 : x
  2. Step 2: Convert to fraction form
    2,241.64/3,357.32 = 1,072.46/x
  3. Step 3: Cross multiply
    2,241.64x = 3,357.32 × 1,072.46
  4. Step 4: Simplify right side
    2,241.64x = 3,600,591.41
  5. Step 5: Solve for x
    x = 3,600,591.41/2,241.64
  6. Step 6: Final answer
    x = 1,606.23

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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.