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Finding the Fourth Proportional to 2,046.94, 2,824.68 and 1,162.63

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Solution

The fourth proportional to 2,046.94, 2,824.68 and 1,162.63 is: 1,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 2,824.68 = 1,162.63 : x
  2. Step 2: Convert to fraction form
    2,046.94/2,824.68 = 1,162.63/x
  3. Step 3: Cross multiply
    2,046.94x = 2,824.68 × 1,162.63
  4. Step 4: Simplify right side
    2,046.94x = 3,284,057.71
  5. Step 5: Solve for x
    x = 3,284,057.71/2,046.94
  6. Step 6: Final answer
    x = 1,604.37

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