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Finding the Fourth Proportional to 2,744.89, 4,114.90 and 1,283.65

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Solution

The fourth proportional to 2,744.89, 4,114.90 and 1,283.65 is: 1,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.89 : 4,114.90 = 1,283.65 : x
  2. Step 2: Convert to fraction form
    2,744.89/4,114.90 = 1,283.65/x
  3. Step 3: Cross multiply
    2,744.89x = 4,114.90 × 1,283.65
  4. Step 4: Simplify right side
    2,744.89x = 5,282,082.70
  5. Step 5: Solve for x
    x = 5,282,082.70/2,744.89
  6. Step 6: Final answer
    x = 1,924.33

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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.