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Finding the Fourth Proportional to 2,936.78, 4,405.18 and 745.52

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Solution

The fourth proportional to 2,936.78, 4,405.18 and 745.52 is: 1,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.78 : 4,405.18 = 745.52 : x
  2. Step 2: Convert to fraction form
    2,936.78/4,405.18 = 745.52/x
  3. Step 3: Cross multiply
    2,936.78x = 4,405.18 × 745.52
  4. Step 4: Simplify right side
    2,936.78x = 3,284,149.79
  5. Step 5: Solve for x
    x = 3,284,149.79/2,936.78
  6. Step 6: Final answer
    x = 1,118.28

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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.