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Finding the Fourth Proportional to 3,274.42, 4,913.69 and 1,326.63

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Solution

The fourth proportional to 3,274.42, 4,913.69 and 1,326.63 is: 1,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.42 : 4,913.69 = 1,326.63 : x
  2. Step 2: Convert to fraction form
    3,274.42/4,913.69 = 1,326.63/x
  3. Step 3: Cross multiply
    3,274.42x = 4,913.69 × 1,326.63
  4. Step 4: Simplify right side
    3,274.42x = 6,518,648.56
  5. Step 5: Solve for x
    x = 6,518,648.56/3,274.42
  6. Step 6: Final answer
    x = 1,990.78

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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.