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Finding the Fourth Proportional to 2,645.17, 3,968.61 and 891.03

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Solution

The fourth proportional to 2,645.17, 3,968.61 and 891.03 is: 1,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.17 : 3,968.61 = 891.03 : x
  2. Step 2: Convert to fraction form
    2,645.17/3,968.61 = 891.03/x
  3. Step 3: Cross multiply
    2,645.17x = 3,968.61 × 891.03
  4. Step 4: Simplify right side
    2,645.17x = 3,536,150.57
  5. Step 5: Solve for x
    x = 3,536,150.57/2,645.17
  6. Step 6: Final answer
    x = 1,336.83

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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.