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Finding the Fourth Proportional to 2,549.34, 3,824.46 and 1,576.53

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Solution

The fourth proportional to 2,549.34, 3,824.46 and 1,576.53 is: 2,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.34 : 3,824.46 = 1,576.53 : x
  2. Step 2: Convert to fraction form
    2,549.34/3,824.46 = 1,576.53/x
  3. Step 3: Cross multiply
    2,549.34x = 3,824.46 × 1,576.53
  4. Step 4: Simplify right side
    2,549.34x = 6,029,375.92
  5. Step 5: Solve for x
    x = 6,029,375.92/2,549.34
  6. Step 6: Final answer
    x = 2,365.07

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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.