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Finding the Fourth Proportional to 2,274.03, 3,414.29 and 1,729.71

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Solution

The fourth proportional to 2,274.03, 3,414.29 and 1,729.71 is: 2,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.03 : 3,414.29 = 1,729.71 : x
  2. Step 2: Convert to fraction form
    2,274.03/3,414.29 = 1,729.71/x
  3. Step 3: Cross multiply
    2,274.03x = 3,414.29 × 1,729.71
  4. Step 4: Simplify right side
    2,274.03x = 5,905,722.91
  5. Step 5: Solve for x
    x = 5,905,722.91/2,274.03
  6. Step 6: Final answer
    x = 2,597.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.