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Finding the Fourth Proportional to 1,806.55, 2,494.23 and 1,169.69

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Solution

The fourth proportional to 1,806.55, 2,494.23 and 1,169.69 is: 1,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.55 : 2,494.23 = 1,169.69 : x
  2. Step 2: Convert to fraction form
    1,806.55/2,494.23 = 1,169.69/x
  3. Step 3: Cross multiply
    1,806.55x = 2,494.23 × 1,169.69
  4. Step 4: Simplify right side
    1,806.55x = 2,917,459.03
  5. Step 5: Solve for x
    x = 2,917,459.03/1,806.55
  6. Step 6: Final answer
    x = 1,614.94

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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.