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Finding the Fourth Proportional to 2,969.75, 4,100.12 and 1,907.99

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Solution

The fourth proportional to 2,969.75, 4,100.12 and 1,907.99 is: 2,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.75 : 4,100.12 = 1,907.99 : x
  2. Step 2: Convert to fraction form
    2,969.75/4,100.12 = 1,907.99/x
  3. Step 3: Cross multiply
    2,969.75x = 4,100.12 × 1,907.99
  4. Step 4: Simplify right side
    2,969.75x = 7,822,957.92
  5. Step 5: Solve for x
    x = 7,822,957.92/2,969.75
  6. Step 6: Final answer
    x = 2,634.22

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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.