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Finding the Fourth Proportional to 1,441.80, 2,162.30 and 454.41

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Solution

The fourth proportional to 1,441.80, 2,162.30 and 454.41 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.80 : 2,162.30 = 454.41 : x
  2. Step 2: Convert to fraction form
    1,441.80/2,162.30 = 454.41/x
  3. Step 3: Cross multiply
    1,441.80x = 2,162.30 × 454.41
  4. Step 4: Simplify right side
    1,441.80x = 982,568.47
  5. Step 5: Solve for x
    x = 982,568.47/1,441.80
  6. Step 6: Final answer
    x = 681.49

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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.