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Finding the Fourth Proportional to 2,411.25, 3,617.27 and 851.67

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Solution

The fourth proportional to 2,411.25, 3,617.27 and 851.67 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.25 : 3,617.27 = 851.67 : x
  2. Step 2: Convert to fraction form
    2,411.25/3,617.27 = 851.67/x
  3. Step 3: Cross multiply
    2,411.25x = 3,617.27 × 851.67
  4. Step 4: Simplify right side
    2,411.25x = 3,080,716.08
  5. Step 5: Solve for x
    x = 3,080,716.08/2,411.25
  6. Step 6: Final answer
    x = 1,277.64

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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.