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Finding the Fourth Proportional to 2,646.56, 3,969.96 and 1,003.22

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Solution

The fourth proportional to 2,646.56, 3,969.96 and 1,003.22 is: 1,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.56 : 3,969.96 = 1,003.22 : x
  2. Step 2: Convert to fraction form
    2,646.56/3,969.96 = 1,003.22/x
  3. Step 3: Cross multiply
    2,646.56x = 3,969.96 × 1,003.22
  4. Step 4: Simplify right side
    2,646.56x = 3,982,734.55
  5. Step 5: Solve for x
    x = 3,982,734.55/2,646.56
  6. Step 6: Final answer
    x = 1,504.87

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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.