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Finding the Fourth Proportional to 2,511.05, 3,765.60 and 867.15

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Solution

The fourth proportional to 2,511.05, 3,765.60 and 867.15 is: 1,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.05 : 3,765.60 = 867.15 : x
  2. Step 2: Convert to fraction form
    2,511.05/3,765.60 = 867.15/x
  3. Step 3: Cross multiply
    2,511.05x = 3,765.60 × 867.15
  4. Step 4: Simplify right side
    2,511.05x = 3,265,340.04
  5. Step 5: Solve for x
    x = 3,265,340.04/2,511.05
  6. Step 6: Final answer
    x = 1,300.39

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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.