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Finding the Fourth Proportional to 2,271.75, 3,410.05 and 1,844.07

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Solution

The fourth proportional to 2,271.75, 3,410.05 and 1,844.07 is: 2,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.75 : 3,410.05 = 1,844.07 : x
  2. Step 2: Convert to fraction form
    2,271.75/3,410.05 = 1,844.07/x
  3. Step 3: Cross multiply
    2,271.75x = 3,410.05 × 1,844.07
  4. Step 4: Simplify right side
    2,271.75x = 6,288,353.85
  5. Step 5: Solve for x
    x = 6,288,353.85/2,271.75
  6. Step 6: Final answer
    x = 2,768.07

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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.