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Finding the Fourth Proportional to 2,753.72, 3,798.54 and 1,705.04

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Solution

The fourth proportional to 2,753.72, 3,798.54 and 1,705.04 is: 2,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.72 : 3,798.54 = 1,705.04 : x
  2. Step 2: Convert to fraction form
    2,753.72/3,798.54 = 1,705.04/x
  3. Step 3: Cross multiply
    2,753.72x = 3,798.54 × 1,705.04
  4. Step 4: Simplify right side
    2,753.72x = 6,476,662.64
  5. Step 5: Solve for x
    x = 6,476,662.64/2,753.72
  6. Step 6: Final answer
    x = 2,351.97

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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.