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Finding the Fourth Proportional to 2,323.10, 3,205.22 and 1,798.22

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Solution

The fourth proportional to 2,323.10, 3,205.22 and 1,798.22 is: 2,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.10 : 3,205.22 = 1,798.22 : x
  2. Step 2: Convert to fraction form
    2,323.10/3,205.22 = 1,798.22/x
  3. Step 3: Cross multiply
    2,323.10x = 3,205.22 × 1,798.22
  4. Step 4: Simplify right side
    2,323.10x = 5,763,690.71
  5. Step 5: Solve for x
    x = 5,763,690.71/2,323.10
  6. Step 6: Final answer
    x = 2,481.03

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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.