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Finding the Fourth Proportional to 4,232.98, 6,350.78 and 1,894.96

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Solution

The fourth proportional to 4,232.98, 6,350.78 and 1,894.96 is: 2,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.98 : 6,350.78 = 1,894.96 : x
  2. Step 2: Convert to fraction form
    4,232.98/6,350.78 = 1,894.96/x
  3. Step 3: Cross multiply
    4,232.98x = 6,350.78 × 1,894.96
  4. Step 4: Simplify right side
    4,232.98x = 12,034,474.07
  5. Step 5: Solve for x
    x = 12,034,474.07/4,232.98
  6. Step 6: Final answer
    x = 2,843.03

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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.