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Finding the Fourth Proportional to 1,936.07, 2,902.94 and 780.47

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Solution

The fourth proportional to 1,936.07, 2,902.94 and 780.47 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.07 : 2,902.94 = 780.47 : x
  2. Step 2: Convert to fraction form
    1,936.07/2,902.94 = 780.47/x
  3. Step 3: Cross multiply
    1,936.07x = 2,902.94 × 780.47
  4. Step 4: Simplify right side
    1,936.07x = 2,265,653.68
  5. Step 5: Solve for x
    x = 2,265,653.68/1,936.07
  6. Step 6: Final answer
    x = 1,170.23

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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.