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Finding the Fourth Proportional to 2,480.81, 3,720.39 and 1,164.15

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Solution

The fourth proportional to 2,480.81, 3,720.39 and 1,164.15 is: 1,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.81 : 3,720.39 = 1,164.15 : x
  2. Step 2: Convert to fraction form
    2,480.81/3,720.39 = 1,164.15/x
  3. Step 3: Cross multiply
    2,480.81x = 3,720.39 × 1,164.15
  4. Step 4: Simplify right side
    2,480.81x = 4,331,092.02
  5. Step 5: Solve for x
    x = 4,331,092.02/2,480.81
  6. Step 6: Final answer
    x = 1,745.84

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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.