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Finding the Fourth Proportional to 2,679, 4,017.88 and 731.35

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Solution

The fourth proportional to 2,679, 4,017.88 and 731.35 is: 1,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679 : 4,017.88 = 731.35 : x
  2. Step 2: Convert to fraction form
    2,679/4,017.88 = 731.35/x
  3. Step 3: Cross multiply
    2,679x = 4,017.88 × 731.35
  4. Step 4: Simplify right side
    2,679x = 2,938,476.54
  5. Step 5: Solve for x
    x = 2,938,476.54/2,679
  6. Step 6: Final answer
    x = 1,096.86

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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.