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Finding the Fourth Proportional to 2,646.43, 3,968.22 and 1,085.96

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Solution

The fourth proportional to 2,646.43, 3,968.22 and 1,085.96 is: 1,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.43 : 3,968.22 = 1,085.96 : x
  2. Step 2: Convert to fraction form
    2,646.43/3,968.22 = 1,085.96/x
  3. Step 3: Cross multiply
    2,646.43x = 3,968.22 × 1,085.96
  4. Step 4: Simplify right side
    2,646.43x = 4,309,328.19
  5. Step 5: Solve for x
    x = 4,309,328.19/2,646.43
  6. Step 6: Final answer
    x = 1,628.36

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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.