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Finding the Fourth Proportional to 2,322.41, 3,204.93 and 1,274.48

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Solution

The fourth proportional to 2,322.41, 3,204.93 and 1,274.48 is: 1,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.41 : 3,204.93 = 1,274.48 : x
  2. Step 2: Convert to fraction form
    2,322.41/3,204.93 = 1,274.48/x
  3. Step 3: Cross multiply
    2,322.41x = 3,204.93 × 1,274.48
  4. Step 4: Simplify right side
    2,322.41x = 4,084,619.19
  5. Step 5: Solve for x
    x = 4,084,619.19/2,322.41
  6. Step 6: Final answer
    x = 1,758.78

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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.