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Finding the Fourth Proportional to 2,511.15, 3,765.45 and 867.21

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Solution

The fourth proportional to 2,511.15, 3,765.45 and 867.21 is: 1,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.15 : 3,765.45 = 867.21 : x
  2. Step 2: Convert to fraction form
    2,511.15/3,765.45 = 867.21/x
  3. Step 3: Cross multiply
    2,511.15x = 3,765.45 × 867.21
  4. Step 4: Simplify right side
    2,511.15x = 3,265,435.89
  5. Step 5: Solve for x
    x = 3,265,435.89/2,511.15
  6. Step 6: Final answer
    x = 1,300.37

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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.