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Finding the Fourth Proportional to 2,714.56, 3,745.36 and 1,664.80

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Solution

The fourth proportional to 2,714.56, 3,745.36 and 1,664.80 is: 2,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.56 : 3,745.36 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    2,714.56/3,745.36 = 1,664.80/x
  3. Step 3: Cross multiply
    2,714.56x = 3,745.36 × 1,664.80
  4. Step 4: Simplify right side
    2,714.56x = 6,235,275.33
  5. Step 5: Solve for x
    x = 6,235,275.33/2,714.56
  6. Step 6: Final answer
    x = 2,296.97

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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.