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Finding the Fourth Proportional to 1,946.54, 2,917.19 and 1,821.99

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Solution

The fourth proportional to 1,946.54, 2,917.19 and 1,821.99 is: 2,730.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.54 : 2,917.19 = 1,821.99 : x
  2. Step 2: Convert to fraction form
    1,946.54/2,917.19 = 1,821.99/x
  3. Step 3: Cross multiply
    1,946.54x = 2,917.19 × 1,821.99
  4. Step 4: Simplify right side
    1,946.54x = 5,315,091.01
  5. Step 5: Solve for x
    x = 5,315,091.01/1,946.54
  6. Step 6: Final answer
    x = 2,730.53

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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.