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Finding the Fourth Proportional to 2,271.46, 3,404.01 and 1,232.03

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Solution

The fourth proportional to 2,271.46, 3,404.01 and 1,232.03 is: 1,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.46 : 3,404.01 = 1,232.03 : x
  2. Step 2: Convert to fraction form
    2,271.46/3,404.01 = 1,232.03/x
  3. Step 3: Cross multiply
    2,271.46x = 3,404.01 × 1,232.03
  4. Step 4: Simplify right side
    2,271.46x = 4,193,842.44
  5. Step 5: Solve for x
    x = 4,193,842.44/2,271.46
  6. Step 6: Final answer
    x = 1,846.32

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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.