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Finding the Fourth Proportional to 2,480.64, 3,720.39 and 725.19

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Solution

The fourth proportional to 2,480.64, 3,720.39 and 725.19 is: 1,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.64 : 3,720.39 = 725.19 : x
  2. Step 2: Convert to fraction form
    2,480.64/3,720.39 = 725.19/x
  3. Step 3: Cross multiply
    2,480.64x = 3,720.39 × 725.19
  4. Step 4: Simplify right side
    2,480.64x = 2,697,989.62
  5. Step 5: Solve for x
    x = 2,697,989.62/2,480.64
  6. Step 6: Final answer
    x = 1,087.62

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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.