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Finding the Fourth Proportional to 2,593.75, 3,896.07 and 1,975.30

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Solution

The fourth proportional to 2,593.75, 3,896.07 and 1,975.30 is: 2,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.75 : 3,896.07 = 1,975.30 : x
  2. Step 2: Convert to fraction form
    2,593.75/3,896.07 = 1,975.30/x
  3. Step 3: Cross multiply
    2,593.75x = 3,896.07 × 1,975.30
  4. Step 4: Simplify right side
    2,593.75x = 7,695,907.07
  5. Step 5: Solve for x
    x = 7,695,907.07/2,593.75
  6. Step 6: Final answer
    x = 2,967.10

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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.