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Finding the Fourth Proportional to 2,936.69, 4,404.90 and 745.46

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Solution

The fourth proportional to 2,936.69, 4,404.90 and 745.46 is: 1,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.69 : 4,404.90 = 745.46 : x
  2. Step 2: Convert to fraction form
    2,936.69/4,404.90 = 745.46/x
  3. Step 3: Cross multiply
    2,936.69x = 4,404.90 × 745.46
  4. Step 4: Simplify right side
    2,936.69x = 3,283,676.75
  5. Step 5: Solve for x
    x = 3,283,676.75/2,936.69
  6. Step 6: Final answer
    x = 1,118.16

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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.