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Finding the Fourth Proportional to 2,907.70, 4,361.31 and 959.38

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Solution

The fourth proportional to 2,907.70, 4,361.31 and 959.38 is: 1,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.70 : 4,361.31 = 959.38 : x
  2. Step 2: Convert to fraction form
    2,907.70/4,361.31 = 959.38/x
  3. Step 3: Cross multiply
    2,907.70x = 4,361.31 × 959.38
  4. Step 4: Simplify right side
    2,907.70x = 4,184,153.59
  5. Step 5: Solve for x
    x = 4,184,153.59/2,907.70
  6. Step 6: Final answer
    x = 1,438.99

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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.