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Finding the Fourth Proportional to 2,095.76, 3,144.36 and 797.42

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Solution

The fourth proportional to 2,095.76, 3,144.36 and 797.42 is: 1,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.76 : 3,144.36 = 797.42 : x
  2. Step 2: Convert to fraction form
    2,095.76/3,144.36 = 797.42/x
  3. Step 3: Cross multiply
    2,095.76x = 3,144.36 × 797.42
  4. Step 4: Simplify right side
    2,095.76x = 2,507,375.55
  5. Step 5: Solve for x
    x = 2,507,375.55/2,095.76
  6. Step 6: Final answer
    x = 1,196.40

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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.