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Finding the Fourth Proportional to 2,114.64, 3,172.37 and 727.65

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Solution

The fourth proportional to 2,114.64, 3,172.37 and 727.65 is: 1,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 3,172.37 = 727.65 : x
  2. Step 2: Convert to fraction form
    2,114.64/3,172.37 = 727.65/x
  3. Step 3: Cross multiply
    2,114.64x = 3,172.37 × 727.65
  4. Step 4: Simplify right side
    2,114.64x = 2,308,371.39
  5. Step 5: Solve for x
    x = 2,308,371.39/2,114.64
  6. Step 6: Final answer
    x = 1,091.61

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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.