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Finding the Fourth Proportional to 3,274.89, 4,907.55 and 1,520.43

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Solution

The fourth proportional to 3,274.89, 4,907.55 and 1,520.43 is: 2,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.89 : 4,907.55 = 1,520.43 : x
  2. Step 2: Convert to fraction form
    3,274.89/4,907.55 = 1,520.43/x
  3. Step 3: Cross multiply
    3,274.89x = 4,907.55 × 1,520.43
  4. Step 4: Simplify right side
    3,274.89x = 7,461,586.25
  5. Step 5: Solve for x
    x = 7,461,586.25/3,274.89
  6. Step 6: Final answer
    x = 2,278.42

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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.