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Finding the Fourth Proportional to 2,757.21, 4,134.75 and 907.98

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Solution

The fourth proportional to 2,757.21, 4,134.75 and 907.98 is: 1,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.21 : 4,134.75 = 907.98 : x
  2. Step 2: Convert to fraction form
    2,757.21/4,134.75 = 907.98/x
  3. Step 3: Cross multiply
    2,757.21x = 4,134.75 × 907.98
  4. Step 4: Simplify right side
    2,757.21x = 3,754,270.31
  5. Step 5: Solve for x
    x = 3,754,270.31/2,757.21
  6. Step 6: Final answer
    x = 1,361.62

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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.