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Finding the Fourth Proportional to 2,480.24, 3,419.64 and 2,144.24

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Solution

The fourth proportional to 2,480.24, 3,419.64 and 2,144.24 is: 2,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.24 : 3,419.64 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    2,480.24/3,419.64 = 2,144.24/x
  3. Step 3: Cross multiply
    2,480.24x = 3,419.64 × 2,144.24
  4. Step 4: Simplify right side
    2,480.24x = 7,332,528.87
  5. Step 5: Solve for x
    x = 7,332,528.87/2,480.24
  6. Step 6: Final answer
    x = 2,956.38

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Why These Related Problems?

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