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Finding the Fourth Proportional to 2,724.95, 4,084.50 and 1,079.21

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Solution

The fourth proportional to 2,724.95, 4,084.50 and 1,079.21 is: 1,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.95 : 4,084.50 = 1,079.21 : x
  2. Step 2: Convert to fraction form
    2,724.95/4,084.50 = 1,079.21/x
  3. Step 3: Cross multiply
    2,724.95x = 4,084.50 × 1,079.21
  4. Step 4: Simplify right side
    2,724.95x = 4,408,033.25
  5. Step 5: Solve for x
    x = 4,408,033.25/2,724.95
  6. Step 6: Final answer
    x = 1,617.66

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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.