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Finding the Fourth Proportional to 2,095.98, 3,144.38 and 797.35

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Solution

The fourth proportional to 2,095.98, 3,144.38 and 797.35 is: 1,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.98 : 3,144.38 = 797.35 : x
  2. Step 2: Convert to fraction form
    2,095.98/3,144.38 = 797.35/x
  3. Step 3: Cross multiply
    2,095.98x = 3,144.38 × 797.35
  4. Step 4: Simplify right side
    2,095.98x = 2,507,171.39
  5. Step 5: Solve for x
    x = 2,507,171.39/2,095.98
  6. Step 6: Final answer
    x = 1,196.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.