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Finding the Fourth Proportional to 2,751.81, 4,120.42 and 1,449.33

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Solution

The fourth proportional to 2,751.81, 4,120.42 and 1,449.33 is: 2,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.81 : 4,120.42 = 1,449.33 : x
  2. Step 2: Convert to fraction form
    2,751.81/4,120.42 = 1,449.33/x
  3. Step 3: Cross multiply
    2,751.81x = 4,120.42 × 1,449.33
  4. Step 4: Simplify right side
    2,751.81x = 5,971,831.96
  5. Step 5: Solve for x
    x = 5,971,831.96/2,751.81
  6. Step 6: Final answer
    x = 2,170.15

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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.