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Finding the Fourth Proportional to 4,231.90, 6,344.01 and 1,922.14

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Solution

The fourth proportional to 4,231.90, 6,344.01 and 1,922.14 is: 2,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.90 : 6,344.01 = 1,922.14 : x
  2. Step 2: Convert to fraction form
    4,231.90/6,344.01 = 1,922.14/x
  3. Step 3: Cross multiply
    4,231.90x = 6,344.01 × 1,922.14
  4. Step 4: Simplify right side
    4,231.90x = 12,194,075.38
  5. Step 5: Solve for x
    x = 12,194,075.38/4,231.90
  6. Step 6: Final answer
    x = 2,881.47

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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.