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Finding the Fourth Proportional to 3,405.78, 5,102.19 and 1,940.49

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Solution

The fourth proportional to 3,405.78, 5,102.19 and 1,940.49 is: 2,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.78 : 5,102.19 = 1,940.49 : x
  2. Step 2: Convert to fraction form
    3,405.78/5,102.19 = 1,940.49/x
  3. Step 3: Cross multiply
    3,405.78x = 5,102.19 × 1,940.49
  4. Step 4: Simplify right side
    3,405.78x = 9,900,748.67
  5. Step 5: Solve for x
    x = 9,900,748.67/3,405.78
  6. Step 6: Final answer
    x = 2,907.04

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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.