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Finding the Fourth Proportional to 2,728.08, 3,763 and 1,665.36

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Solution

The fourth proportional to 2,728.08, 3,763 and 1,665.36 is: 2,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.08 : 3,763 = 1,665.36 : x
  2. Step 2: Convert to fraction form
    2,728.08/3,763 = 1,665.36/x
  3. Step 3: Cross multiply
    2,728.08x = 3,763 × 1,665.36
  4. Step 4: Simplify right side
    2,728.08x = 6,266,749.68
  5. Step 5: Solve for x
    x = 6,266,749.68/2,728.08
  6. Step 6: Final answer
    x = 2,297.13

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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.