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Finding the Fourth Proportional to 3,316.40, 4,576.74 and 1,824.44

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Solution

The fourth proportional to 3,316.40, 4,576.74 and 1,824.44 is: 2,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.40 : 4,576.74 = 1,824.44 : x
  2. Step 2: Convert to fraction form
    3,316.40/4,576.74 = 1,824.44/x
  3. Step 3: Cross multiply
    3,316.40x = 4,576.74 × 1,824.44
  4. Step 4: Simplify right side
    3,316.40x = 8,349,964.64
  5. Step 5: Solve for x
    x = 8,349,964.64/3,316.40
  6. Step 6: Final answer
    x = 2,517.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.