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Finding the Fourth Proportional to 4,942.98, 7,414.47 and 1,433.18

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Solution

The fourth proportional to 4,942.98, 7,414.47 and 1,433.18 is: 2,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.98 : 7,414.47 = 1,433.18 : x
  2. Step 2: Convert to fraction form
    4,942.98/7,414.47 = 1,433.18/x
  3. Step 3: Cross multiply
    4,942.98x = 7,414.47 × 1,433.18
  4. Step 4: Simplify right side
    4,942.98x = 10,626,288.65
  5. Step 5: Solve for x
    x = 10,626,288.65/4,942.98
  6. Step 6: Final answer
    x = 2,149.77

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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.