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Finding the Fourth Proportional to 2,480.28, 3,415.68 and 2,431.68

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Solution

The fourth proportional to 2,480.28, 3,415.68 and 2,431.68 is: 3,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.28 : 3,415.68 = 2,431.68 : x
  2. Step 2: Convert to fraction form
    2,480.28/3,415.68 = 2,431.68/x
  3. Step 3: Cross multiply
    2,480.28x = 3,415.68 × 2,431.68
  4. Step 4: Simplify right side
    2,480.28x = 8,305,840.74
  5. Step 5: Solve for x
    x = 8,305,840.74/2,480.28
  6. Step 6: Final answer
    x = 3,348.75

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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.