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Finding the Fourth Proportional to 2,322.98, 3,201.29 and 2,280.28

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Solution

The fourth proportional to 2,322.98, 3,201.29 and 2,280.28 is: 3,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.98 : 3,201.29 = 2,280.28 : x
  2. Step 2: Convert to fraction form
    2,322.98/3,201.29 = 2,280.28/x
  3. Step 3: Cross multiply
    2,322.98x = 3,201.29 × 2,280.28
  4. Step 4: Simplify right side
    2,322.98x = 7,299,815.69
  5. Step 5: Solve for x
    x = 7,299,815.69/2,322.98
  6. Step 6: Final answer
    x = 3,142.43

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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.