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Finding the Fourth Proportional to 2,480.81, 3,422.09 and 1,684.18

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Solution

The fourth proportional to 2,480.81, 3,422.09 and 1,684.18 is: 2,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.81 : 3,422.09 = 1,684.18 : x
  2. Step 2: Convert to fraction form
    2,480.81/3,422.09 = 1,684.18/x
  3. Step 3: Cross multiply
    2,480.81x = 3,422.09 × 1,684.18
  4. Step 4: Simplify right side
    2,480.81x = 5,763,415.54
  5. Step 5: Solve for x
    x = 5,763,415.54/2,480.81
  6. Step 6: Final answer
    x = 2,323.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.