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Finding the Fourth Proportional to 2,759.98, 3,804.66 and 2,014.78

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Solution

The fourth proportional to 2,759.98, 3,804.66 and 2,014.78 is: 2,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.98 : 3,804.66 = 2,014.78 : x
  2. Step 2: Convert to fraction form
    2,759.98/3,804.66 = 2,014.78/x
  3. Step 3: Cross multiply
    2,759.98x = 3,804.66 × 2,014.78
  4. Step 4: Simplify right side
    2,759.98x = 7,665,552.87
  5. Step 5: Solve for x
    x = 7,665,552.87/2,759.98
  6. Step 6: Final answer
    x = 2,777.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.