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Finding the Fourth Proportional to 2,738.65, 3,771.66 and 2,384.40

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Solution

The fourth proportional to 2,738.65, 3,771.66 and 2,384.40 is: 3,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.65 : 3,771.66 = 2,384.40 : x
  2. Step 2: Convert to fraction form
    2,738.65/3,771.66 = 2,384.40/x
  3. Step 3: Cross multiply
    2,738.65x = 3,771.66 × 2,384.40
  4. Step 4: Simplify right side
    2,738.65x = 8,993,153.28
  5. Step 5: Solve for x
    x = 8,993,153.28/2,738.65
  6. Step 6: Final answer
    x = 3,283.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.