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Finding the Fourth Proportional to 3,293.56, 4,940.34 and 1,102.24

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Solution

The fourth proportional to 3,293.56, 4,940.34 and 1,102.24 is: 1,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.56 : 4,940.34 = 1,102.24 : x
  2. Step 2: Convert to fraction form
    3,293.56/4,940.34 = 1,102.24/x
  3. Step 3: Cross multiply
    3,293.56x = 4,940.34 × 1,102.24
  4. Step 4: Simplify right side
    3,293.56x = 5,445,440.36
  5. Step 5: Solve for x
    x = 5,445,440.36/3,293.56
  6. Step 6: Final answer
    x = 1,653.36

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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.