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Finding the Fourth Proportional to 2,122.77, 3,184.97 and 1,199.37

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Solution

The fourth proportional to 2,122.77, 3,184.97 and 1,199.37 is: 1,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.77 : 3,184.97 = 1,199.37 : x
  2. Step 2: Convert to fraction form
    2,122.77/3,184.97 = 1,199.37/x
  3. Step 3: Cross multiply
    2,122.77x = 3,184.97 × 1,199.37
  4. Step 4: Simplify right side
    2,122.77x = 3,819,957.47
  5. Step 5: Solve for x
    x = 3,819,957.47/2,122.77
  6. Step 6: Final answer
    x = 1,799.52

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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.