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Finding the Fourth Proportional to 2,318.26, 3,477.73 and 757.88

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Solution

The fourth proportional to 2,318.26, 3,477.73 and 757.88 is: 1,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.26 : 3,477.73 = 757.88 : x
  2. Step 2: Convert to fraction form
    2,318.26/3,477.73 = 757.88/x
  3. Step 3: Cross multiply
    2,318.26x = 3,477.73 × 757.88
  4. Step 4: Simplify right side
    2,318.26x = 2,635,702.01
  5. Step 5: Solve for x
    x = 2,635,702.01/2,318.26
  6. Step 6: Final answer
    x = 1,136.93

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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.