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Finding the Fourth Proportional to 1,699.56, 2,555.22 and 1,338.72

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Solution

The fourth proportional to 1,699.56, 2,555.22 and 1,338.72 is: 2,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.56 : 2,555.22 = 1,338.72 : x
  2. Step 2: Convert to fraction form
    1,699.56/2,555.22 = 1,338.72/x
  3. Step 3: Cross multiply
    1,699.56x = 2,555.22 × 1,338.72
  4. Step 4: Simplify right side
    1,699.56x = 3,420,724.12
  5. Step 5: Solve for x
    x = 3,420,724.12/1,699.56
  6. Step 6: Final answer
    x = 2,012.71

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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.