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Finding the Fourth Proportional to 1,441.28, 2,162.39 and 467.39

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Solution

The fourth proportional to 1,441.28, 2,162.39 and 467.39 is: 701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.28 : 2,162.39 = 467.39 : x
  2. Step 2: Convert to fraction form
    1,441.28/2,162.39 = 467.39/x
  3. Step 3: Cross multiply
    1,441.28x = 2,162.39 × 467.39
  4. Step 4: Simplify right side
    1,441.28x = 1,010,679.46
  5. Step 5: Solve for x
    x = 1,010,679.46/1,441.28
  6. Step 6: Final answer
    x = 701.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.