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Finding the Fourth Proportional to 2,722.65, 4,084.48 and 1,940.70

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Solution

The fourth proportional to 2,722.65, 4,084.48 and 1,940.70 is: 2,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.65 : 4,084.48 = 1,940.70 : x
  2. Step 2: Convert to fraction form
    2,722.65/4,084.48 = 1,940.70/x
  3. Step 3: Cross multiply
    2,722.65x = 4,084.48 × 1,940.70
  4. Step 4: Simplify right side
    2,722.65x = 7,926,750.34
  5. Step 5: Solve for x
    x = 7,926,750.34/2,722.65
  6. Step 6: Final answer
    x = 2,911.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.