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Finding the Fourth Proportional to 2,532.76, 3,799.86 and 867.26

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Solution

The fourth proportional to 2,532.76, 3,799.86 and 867.26 is: 1,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.76 : 3,799.86 = 867.26 : x
  2. Step 2: Convert to fraction form
    2,532.76/3,799.86 = 867.26/x
  3. Step 3: Cross multiply
    2,532.76x = 3,799.86 × 867.26
  4. Step 4: Simplify right side
    2,532.76x = 3,295,474.89
  5. Step 5: Solve for x
    x = 3,295,474.89/2,532.76
  6. Step 6: Final answer
    x = 1,301.14

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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.