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Finding the Fourth Proportional to 3,274.41, 4,907.71 and 1,516.96

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Solution

The fourth proportional to 3,274.41, 4,907.71 and 1,516.96 is: 2,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.41 : 4,907.71 = 1,516.96 : x
  2. Step 2: Convert to fraction form
    3,274.41/4,907.71 = 1,516.96/x
  3. Step 3: Cross multiply
    3,274.41x = 4,907.71 × 1,516.96
  4. Step 4: Simplify right side
    3,274.41x = 7,444,799.76
  5. Step 5: Solve for x
    x = 7,444,799.76/3,274.41
  6. Step 6: Final answer
    x = 2,273.63

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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.