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Finding the Fourth Proportional to 2,133.77, 3,204.12 and 1,317.23

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Solution

The fourth proportional to 2,133.77, 3,204.12 and 1,317.23 is: 1,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.77 : 3,204.12 = 1,317.23 : x
  2. Step 2: Convert to fraction form
    2,133.77/3,204.12 = 1,317.23/x
  3. Step 3: Cross multiply
    2,133.77x = 3,204.12 × 1,317.23
  4. Step 4: Simplify right side
    2,133.77x = 4,220,558.98
  5. Step 5: Solve for x
    x = 4,220,558.98/2,133.77
  6. Step 6: Final answer
    x = 1,977.99

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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.