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Finding the Fourth Proportional to 2,728.41, 3,763.83 and 1,784.49

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Solution

The fourth proportional to 2,728.41, 3,763.83 and 1,784.49 is: 2,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.41 : 3,763.83 = 1,784.49 : x
  2. Step 2: Convert to fraction form
    2,728.41/3,763.83 = 1,784.49/x
  3. Step 3: Cross multiply
    2,728.41x = 3,763.83 × 1,784.49
  4. Step 4: Simplify right side
    2,728.41x = 6,716,517.00
  5. Step 5: Solve for x
    x = 6,716,517.00/2,728.41
  6. Step 6: Final answer
    x = 2,461.70

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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.