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Finding the Fourth Proportional to 2,728.54, 3,763.77 and 1,733.00

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Solution

The fourth proportional to 2,728.54, 3,763.77 and 1,733.00 is: 2,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.54 : 3,763.77 = 1,733.00 : x
  2. Step 2: Convert to fraction form
    2,728.54/3,763.77 = 1,733.00/x
  3. Step 3: Cross multiply
    2,728.54x = 3,763.77 × 1,733.00
  4. Step 4: Simplify right side
    2,728.54x = 6,522,588.09
  5. Step 5: Solve for x
    x = 6,522,588.09/2,728.54
  6. Step 6: Final answer
    x = 2,390.51

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Why These Related Problems?

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