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Finding the Fourth Proportional to 2,093.94, 3,142.26 and 1,927.08

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Solution

The fourth proportional to 2,093.94, 3,142.26 and 1,927.08 is: 2,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.94 : 3,142.26 = 1,927.08 : x
  2. Step 2: Convert to fraction form
    2,093.94/3,142.26 = 1,927.08/x
  3. Step 3: Cross multiply
    2,093.94x = 3,142.26 × 1,927.08
  4. Step 4: Simplify right side
    2,093.94x = 6,055,386.40
  5. Step 5: Solve for x
    x = 6,055,386.40/2,093.94
  6. Step 6: Final answer
    x = 2,891.86

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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.