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Finding the Fourth Proportional to 2,505.96, 3,758.73 and 751.36

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Solution

The fourth proportional to 2,505.96, 3,758.73 and 751.36 is: 1,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,758.73 = 751.36 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,758.73 = 751.36/x
  3. Step 3: Cross multiply
    2,505.96x = 3,758.73 × 751.36
  4. Step 4: Simplify right side
    2,505.96x = 2,824,157.91
  5. Step 5: Solve for x
    x = 2,824,157.91/2,505.96
  6. Step 6: Final answer
    x = 1,126.97

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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.