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Finding the Fourth Proportional to 2,448.43, 3,379.52 and 2,007.38

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Solution

The fourth proportional to 2,448.43, 3,379.52 and 2,007.38 is: 2,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.43 : 3,379.52 = 2,007.38 : x
  2. Step 2: Convert to fraction form
    2,448.43/3,379.52 = 2,007.38/x
  3. Step 3: Cross multiply
    2,448.43x = 3,379.52 × 2,007.38
  4. Step 4: Simplify right side
    2,448.43x = 6,783,994.32
  5. Step 5: Solve for x
    x = 6,783,994.32/2,448.43
  6. Step 6: Final answer
    x = 2,770.76

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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.