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Finding the Fourth Proportional to 2,458.36, 3,687.94 and 727.16

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Solution

The fourth proportional to 2,458.36, 3,687.94 and 727.16 is: 1,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.36 : 3,687.94 = 727.16 : x
  2. Step 2: Convert to fraction form
    2,458.36/3,687.94 = 727.16/x
  3. Step 3: Cross multiply
    2,458.36x = 3,687.94 × 727.16
  4. Step 4: Simplify right side
    2,458.36x = 2,681,722.45
  5. Step 5: Solve for x
    x = 2,681,722.45/2,458.36
  6. Step 6: Final answer
    x = 1,090.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.