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Finding the Fourth Proportional to 4,468.56, 6,703.44 and 1,696.26

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Solution

The fourth proportional to 4,468.56, 6,703.44 and 1,696.26 is: 2,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.56 : 6,703.44 = 1,696.26 : x
  2. Step 2: Convert to fraction form
    4,468.56/6,703.44 = 1,696.26/x
  3. Step 3: Cross multiply
    4,468.56x = 6,703.44 × 1,696.26
  4. Step 4: Simplify right side
    4,468.56x = 11,370,777.13
  5. Step 5: Solve for x
    x = 11,370,777.13/4,468.56
  6. Step 6: Final answer
    x = 2,544.62

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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.