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Finding the Fourth Proportional to 2,056.21, 3,084.01 and 757.38

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Solution

The fourth proportional to 2,056.21, 3,084.01 and 757.38 is: 1,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.21 : 3,084.01 = 757.38 : x
  2. Step 2: Convert to fraction form
    2,056.21/3,084.01 = 757.38/x
  3. Step 3: Cross multiply
    2,056.21x = 3,084.01 × 757.38
  4. Step 4: Simplify right side
    2,056.21x = 2,335,767.49
  5. Step 5: Solve for x
    x = 2,335,767.49/2,056.21
  6. Step 6: Final answer
    x = 1,135.96

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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.