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Finding the Fourth Proportional to 2,322.01, 3,204.37 and 1,274.09

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Solution

The fourth proportional to 2,322.01, 3,204.37 and 1,274.09 is: 1,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.01 : 3,204.37 = 1,274.09 : x
  2. Step 2: Convert to fraction form
    2,322.01/3,204.37 = 1,274.09/x
  3. Step 3: Cross multiply
    2,322.01x = 3,204.37 × 1,274.09
  4. Step 4: Simplify right side
    2,322.01x = 4,082,649.40
  5. Step 5: Solve for x
    x = 4,082,649.40/2,322.01
  6. Step 6: Final answer
    x = 1,758.24

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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.