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Finding the Fourth Proportional to 2,046.84, 2,824.82 and 1,162.92

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Solution

The fourth proportional to 2,046.84, 2,824.82 and 1,162.92 is: 1,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.84 : 2,824.82 = 1,162.92 : x
  2. Step 2: Convert to fraction form
    2,046.84/2,824.82 = 1,162.92/x
  3. Step 3: Cross multiply
    2,046.84x = 2,824.82 × 1,162.92
  4. Step 4: Simplify right side
    2,046.84x = 3,285,039.67
  5. Step 5: Solve for x
    x = 3,285,039.67/2,046.84
  6. Step 6: Final answer
    x = 1,604.93

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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.