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Finding the Fourth Proportional to 2,467.28, 3,701.48 and 824.36

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Solution

The fourth proportional to 2,467.28, 3,701.48 and 824.36 is: 1,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.28 : 3,701.48 = 824.36 : x
  2. Step 2: Convert to fraction form
    2,467.28/3,701.48 = 824.36/x
  3. Step 3: Cross multiply
    2,467.28x = 3,701.48 × 824.36
  4. Step 4: Simplify right side
    2,467.28x = 3,051,352.05
  5. Step 5: Solve for x
    x = 3,051,352.05/2,467.28
  6. Step 6: Final answer
    x = 1,236.73

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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.