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Finding the Fourth Proportional to 2,936.96, 4,404.59 and 907.57

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Solution

The fourth proportional to 2,936.96, 4,404.59 and 907.57 is: 1,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.96 : 4,404.59 = 907.57 : x
  2. Step 2: Convert to fraction form
    2,936.96/4,404.59 = 907.57/x
  3. Step 3: Cross multiply
    2,936.96x = 4,404.59 × 907.57
  4. Step 4: Simplify right side
    2,936.96x = 3,997,447.19
  5. Step 5: Solve for x
    x = 3,997,447.19/2,936.96
  6. Step 6: Final answer
    x = 1,361.09

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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.