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Finding the Fourth Proportional to 2,322.36, 3,200.04 and 2,161.80

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Solution

The fourth proportional to 2,322.36, 3,200.04 and 2,161.80 is: 2,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.36 : 3,200.04 = 2,161.80 : x
  2. Step 2: Convert to fraction form
    2,322.36/3,200.04 = 2,161.80/x
  3. Step 3: Cross multiply
    2,322.36x = 3,200.04 × 2,161.80
  4. Step 4: Simplify right side
    2,322.36x = 6,917,846.47
  5. Step 5: Solve for x
    x = 6,917,846.47/2,322.36
  6. Step 6: Final answer
    x = 2,978.80

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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.