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Finding the Fourth Proportional to 3,173.36, 4,756.64 and 1,323.99

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Solution

The fourth proportional to 3,173.36, 4,756.64 and 1,323.99 is: 1,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.36 : 4,756.64 = 1,323.99 : x
  2. Step 2: Convert to fraction form
    3,173.36/4,756.64 = 1,323.99/x
  3. Step 3: Cross multiply
    3,173.36x = 4,756.64 × 1,323.99
  4. Step 4: Simplify right side
    3,173.36x = 6,297,737.17
  5. Step 5: Solve for x
    x = 6,297,737.17/3,173.36
  6. Step 6: Final answer
    x = 1,984.57

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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.