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Finding the Fourth Proportional to 2,762.73, 4,144.10 and 1,894.41

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Solution

The fourth proportional to 2,762.73, 4,144.10 and 1,894.41 is: 2,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.73 : 4,144.10 = 1,894.41 : x
  2. Step 2: Convert to fraction form
    2,762.73/4,144.10 = 1,894.41/x
  3. Step 3: Cross multiply
    2,762.73x = 4,144.10 × 1,894.41
  4. Step 4: Simplify right side
    2,762.73x = 7,850,615.01
  5. Step 5: Solve for x
    x = 7,850,615.01/2,762.73
  6. Step 6: Final answer
    x = 2,841.62

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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.