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Finding the Fourth Proportional to 3,271.98, 4,907.11 and 1,422.68

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Solution

The fourth proportional to 3,271.98, 4,907.11 and 1,422.68 is: 2,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.98 : 4,907.11 = 1,422.68 : x
  2. Step 2: Convert to fraction form
    3,271.98/4,907.11 = 1,422.68/x
  3. Step 3: Cross multiply
    3,271.98x = 4,907.11 × 1,422.68
  4. Step 4: Simplify right side
    3,271.98x = 6,981,222.72
  5. Step 5: Solve for x
    x = 6,981,222.72/3,271.98
  6. Step 6: Final answer
    x = 2,133.64

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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.