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Finding the Fourth Proportional to 2,633.96, 3,952.00 and 1,172.11

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Solution

The fourth proportional to 2,633.96, 3,952.00 and 1,172.11 is: 1,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.96 : 3,952.00 = 1,172.11 : x
  2. Step 2: Convert to fraction form
    2,633.96/3,952.00 = 1,172.11/x
  3. Step 3: Cross multiply
    2,633.96x = 3,952.00 × 1,172.11
  4. Step 4: Simplify right side
    2,633.96x = 4,632,185.13
  5. Step 5: Solve for x
    x = 4,632,185.13/2,633.96
  6. Step 6: Final answer
    x = 1,758.64

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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.