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Finding the Fourth Proportional to 2,056.30, 3,084.14 and 757.48

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Solution

The fourth proportional to 2,056.30, 3,084.14 and 757.48 is: 1,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.30 : 3,084.14 = 757.48 : x
  2. Step 2: Convert to fraction form
    2,056.30/3,084.14 = 757.48/x
  3. Step 3: Cross multiply
    2,056.30x = 3,084.14 × 757.48
  4. Step 4: Simplify right side
    2,056.30x = 2,336,174.37
  5. Step 5: Solve for x
    x = 2,336,174.37/2,056.30
  6. Step 6: Final answer
    x = 1,136.11

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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.