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Finding the Fourth Proportional to 3,315.52, 4,969.92 and 1,467.44

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Solution

The fourth proportional to 3,315.52, 4,969.92 and 1,467.44 is: 2,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.52 : 4,969.92 = 1,467.44 : x
  2. Step 2: Convert to fraction form
    3,315.52/4,969.92 = 1,467.44/x
  3. Step 3: Cross multiply
    3,315.52x = 4,969.92 × 1,467.44
  4. Step 4: Simplify right side
    3,315.52x = 7,293,059.40
  5. Step 5: Solve for x
    x = 7,293,059.40/3,315.52
  6. Step 6: Final answer
    x = 2,199.67

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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.