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Finding the Fourth Proportional to 2,504.26, 3,756.53 and 772.75

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Solution

The fourth proportional to 2,504.26, 3,756.53 and 772.75 is: 1,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.26 : 3,756.53 = 772.75 : x
  2. Step 2: Convert to fraction form
    2,504.26/3,756.53 = 772.75/x
  3. Step 3: Cross multiply
    2,504.26x = 3,756.53 × 772.75
  4. Step 4: Simplify right side
    2,504.26x = 2,902,858.56
  5. Step 5: Solve for x
    x = 2,902,858.56/2,504.26
  6. Step 6: Final answer
    x = 1,159.17

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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.