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Finding the Fourth Proportional to 2,633.68, 3,950.88 and 1,172.80

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Solution

The fourth proportional to 2,633.68, 3,950.88 and 1,172.80 is: 1,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.68 : 3,950.88 = 1,172.80 : x
  2. Step 2: Convert to fraction form
    2,633.68/3,950.88 = 1,172.80/x
  3. Step 3: Cross multiply
    2,633.68x = 3,950.88 × 1,172.80
  4. Step 4: Simplify right side
    2,633.68x = 4,633,592.06
  5. Step 5: Solve for x
    x = 4,633,592.06/2,633.68
  6. Step 6: Final answer
    x = 1,759.36

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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.