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Finding the Fourth Proportional to 2,135.56, 3,199.17 and 1,208.30

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Solution

The fourth proportional to 2,135.56, 3,199.17 and 1,208.30 is: 1,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.56 : 3,199.17 = 1,208.30 : x
  2. Step 2: Convert to fraction form
    2,135.56/3,199.17 = 1,208.30/x
  3. Step 3: Cross multiply
    2,135.56x = 3,199.17 × 1,208.30
  4. Step 4: Simplify right side
    2,135.56x = 3,865,557.11
  5. Step 5: Solve for x
    x = 3,865,557.11/2,135.56
  6. Step 6: Final answer
    x = 1,810.09

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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.