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Finding the Fourth Proportional to 2,851.93, 3,935.75 and 1,593.00

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Solution

The fourth proportional to 2,851.93, 3,935.75 and 1,593.00 is: 2,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.93 : 3,935.75 = 1,593.00 : x
  2. Step 2: Convert to fraction form
    2,851.93/3,935.75 = 1,593.00/x
  3. Step 3: Cross multiply
    2,851.93x = 3,935.75 × 1,593.00
  4. Step 4: Simplify right side
    2,851.93x = 6,269,643.89
  5. Step 5: Solve for x
    x = 6,269,643.89/2,851.93
  6. Step 6: Final answer
    x = 2,198.39

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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.