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Finding the Fourth Proportional to 2,617.56, 3,926.38 and 669.72

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Solution

The fourth proportional to 2,617.56, 3,926.38 and 669.72 is: 1,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.56 : 3,926.38 = 669.72 : x
  2. Step 2: Convert to fraction form
    2,617.56/3,926.38 = 669.72/x
  3. Step 3: Cross multiply
    2,617.56x = 3,926.38 × 669.72
  4. Step 4: Simplify right side
    2,617.56x = 2,629,575.21
  5. Step 5: Solve for x
    x = 2,629,575.21/2,617.56
  6. Step 6: Final answer
    x = 1,004.59

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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.