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Finding the Fourth Proportional to 2,767.42, 3,818.37 and 1,647.64

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Solution

The fourth proportional to 2,767.42, 3,818.37 and 1,647.64 is: 2,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.42 : 3,818.37 = 1,647.64 : x
  2. Step 2: Convert to fraction form
    2,767.42/3,818.37 = 1,647.64/x
  3. Step 3: Cross multiply
    2,767.42x = 3,818.37 × 1,647.64
  4. Step 4: Simplify right side
    2,767.42x = 6,291,299.15
  5. Step 5: Solve for x
    x = 6,291,299.15/2,767.42
  6. Step 6: Final answer
    x = 2,273.34

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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.