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Finding the Fourth Proportional to 2,056.06, 3,084.96 and 757.21

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Solution

The fourth proportional to 2,056.06, 3,084.96 and 757.21 is: 1,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.06 : 3,084.96 = 757.21 : x
  2. Step 2: Convert to fraction form
    2,056.06/3,084.96 = 757.21/x
  3. Step 3: Cross multiply
    2,056.06x = 3,084.96 × 757.21
  4. Step 4: Simplify right side
    2,056.06x = 2,335,962.56
  5. Step 5: Solve for x
    x = 2,335,962.56/2,056.06
  6. Step 6: Final answer
    x = 1,136.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.