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Finding the Fourth Proportional to 2,722.98, 4,084.98 and 1,162.98

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Solution

The fourth proportional to 2,722.98, 4,084.98 and 1,162.98 is: 1,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.98 : 4,084.98 = 1,162.98 : x
  2. Step 2: Convert to fraction form
    2,722.98/4,084.98 = 1,162.98/x
  3. Step 3: Cross multiply
    2,722.98x = 4,084.98 × 1,162.98
  4. Step 4: Simplify right side
    2,722.98x = 4,750,750.04
  5. Step 5: Solve for x
    x = 4,750,750.04/2,722.98
  6. Step 6: Final answer
    x = 1,744.69

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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.