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Finding the Fourth Proportional to 2,850.75, 3,935.00 and 2,025.15

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Solution

The fourth proportional to 2,850.75, 3,935.00 and 2,025.15 is: 2,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.75 : 3,935.00 = 2,025.15 : x
  2. Step 2: Convert to fraction form
    2,850.75/3,935.00 = 2,025.15/x
  3. Step 3: Cross multiply
    2,850.75x = 3,935.00 × 2,025.15
  4. Step 4: Simplify right side
    2,850.75x = 7,968,955.12
  5. Step 5: Solve for x
    x = 7,968,955.12/2,850.75
  6. Step 6: Final answer
    x = 2,795.39

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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.