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Finding the Fourth Proportional to 2,653.78, 3,662.19 and 1,474.83

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Solution

The fourth proportional to 2,653.78, 3,662.19 and 1,474.83 is: 2,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.78 : 3,662.19 = 1,474.83 : x
  2. Step 2: Convert to fraction form
    2,653.78/3,662.19 = 1,474.83/x
  3. Step 3: Cross multiply
    2,653.78x = 3,662.19 × 1,474.83
  4. Step 4: Simplify right side
    2,653.78x = 5,401,107.68
  5. Step 5: Solve for x
    x = 5,401,107.68/2,653.78
  6. Step 6: Final answer
    x = 2,035.25

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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.