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Finding the Fourth Proportional to 2,722.66, 4,083.99 and 1,798.00

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Solution

The fourth proportional to 2,722.66, 4,083.99 and 1,798.00 is: 2,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.66 : 4,083.99 = 1,798.00 : x
  2. Step 2: Convert to fraction form
    2,722.66/4,083.99 = 1,798.00/x
  3. Step 3: Cross multiply
    2,722.66x = 4,083.99 × 1,798.00
  4. Step 4: Simplify right side
    2,722.66x = 7,342,997.07
  5. Step 5: Solve for x
    x = 7,342,997.07/2,722.66
  6. Step 6: Final answer
    x = 2,696.99

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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.