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Finding the Fourth Proportional to 2,511.06, 3,765.51 and 867.77

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Solution

The fourth proportional to 2,511.06, 3,765.51 and 867.77 is: 1,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.06 : 3,765.51 = 867.77 : x
  2. Step 2: Convert to fraction form
    2,511.06/3,765.51 = 867.77/x
  3. Step 3: Cross multiply
    2,511.06x = 3,765.51 × 867.77
  4. Step 4: Simplify right side
    2,511.06x = 3,267,606.03
  5. Step 5: Solve for x
    x = 3,267,606.03/2,511.06
  6. Step 6: Final answer
    x = 1,301.29

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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.