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Finding the Fourth Proportional to 2,093.94, 3,141.13 and 795.41

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Solution

The fourth proportional to 2,093.94, 3,141.13 and 795.41 is: 1,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.94 : 3,141.13 = 795.41 : x
  2. Step 2: Convert to fraction form
    2,093.94/3,141.13 = 795.41/x
  3. Step 3: Cross multiply
    2,093.94x = 3,141.13 × 795.41
  4. Step 4: Simplify right side
    2,093.94x = 2,498,486.21
  5. Step 5: Solve for x
    x = 2,498,486.21/2,093.94
  6. Step 6: Final answer
    x = 1,193.20

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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.