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Finding the Fourth Proportional to 3,292.56, 4,544.64 and 1,967.16

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Solution

The fourth proportional to 3,292.56, 4,544.64 and 1,967.16 is: 2,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.56 : 4,544.64 = 1,967.16 : x
  2. Step 2: Convert to fraction form
    3,292.56/4,544.64 = 1,967.16/x
  3. Step 3: Cross multiply
    3,292.56x = 4,544.64 × 1,967.16
  4. Step 4: Simplify right side
    3,292.56x = 8,940,034.02
  5. Step 5: Solve for x
    x = 8,940,034.02/3,292.56
  6. Step 6: Final answer
    x = 2,715.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.