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Finding the Fourth Proportional to 1,166.46, 1,609.14 and 1,083.09

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Solution

The fourth proportional to 1,166.46, 1,609.14 and 1,083.09 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.46 : 1,609.14 = 1,083.09 : x
  2. Step 2: Convert to fraction form
    1,166.46/1,609.14 = 1,083.09/x
  3. Step 3: Cross multiply
    1,166.46x = 1,609.14 × 1,083.09
  4. Step 4: Simplify right side
    1,166.46x = 1,742,843.44
  5. Step 5: Solve for x
    x = 1,742,843.44/1,166.46
  6. Step 6: Final answer
    x = 1,494.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.