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Finding the Fourth Proportional to 1,857.93, 2,784.96 and 1,163.01

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Solution

The fourth proportional to 1,857.93, 2,784.96 and 1,163.01 is: 1,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.93 : 2,784.96 = 1,163.01 : x
  2. Step 2: Convert to fraction form
    1,857.93/2,784.96 = 1,163.01/x
  3. Step 3: Cross multiply
    1,857.93x = 2,784.96 × 1,163.01
  4. Step 4: Simplify right side
    1,857.93x = 3,238,936.33
  5. Step 5: Solve for x
    x = 3,238,936.33/1,857.93
  6. Step 6: Final answer
    x = 1,743.30

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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.