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Finding the Fourth Proportional to 2,259.82, 3,396.21 and 1,106.38

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Solution

The fourth proportional to 2,259.82, 3,396.21 and 1,106.38 is: 1,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.82 : 3,396.21 = 1,106.38 : x
  2. Step 2: Convert to fraction form
    2,259.82/3,396.21 = 1,106.38/x
  3. Step 3: Cross multiply
    2,259.82x = 3,396.21 × 1,106.38
  4. Step 4: Simplify right side
    2,259.82x = 3,757,498.82
  5. Step 5: Solve for x
    x = 3,757,498.82/2,259.82
  6. Step 6: Final answer
    x = 1,662.74

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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.