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Finding the Fourth Proportional to 2,907.16, 4,361.34 and 959.96

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Solution

The fourth proportional to 2,907.16, 4,361.34 and 959.96 is: 1,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.16 : 4,361.34 = 959.96 : x
  2. Step 2: Convert to fraction form
    2,907.16/4,361.34 = 959.96/x
  3. Step 3: Cross multiply
    2,907.16x = 4,361.34 × 959.96
  4. Step 4: Simplify right side
    2,907.16x = 4,186,711.95
  5. Step 5: Solve for x
    x = 4,186,711.95/2,907.16
  6. Step 6: Final answer
    x = 1,440.14

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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.