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Finding the Fourth Proportional to 2,441.43, 3,662.42 and 1,054.91

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Solution

The fourth proportional to 2,441.43, 3,662.42 and 1,054.91 is: 1,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.43 : 3,662.42 = 1,054.91 : x
  2. Step 2: Convert to fraction form
    2,441.43/3,662.42 = 1,054.91/x
  3. Step 3: Cross multiply
    2,441.43x = 3,662.42 × 1,054.91
  4. Step 4: Simplify right side
    2,441.43x = 3,863,527.36
  5. Step 5: Solve for x
    x = 3,863,527.36/2,441.43
  6. Step 6: Final answer
    x = 1,582.49

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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.