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Finding the Fourth Proportional to 1,855.26, 2,559.78 and 1,147.14

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Solution

The fourth proportional to 1,855.26, 2,559.78 and 1,147.14 is: 1,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.26 : 2,559.78 = 1,147.14 : x
  2. Step 2: Convert to fraction form
    1,855.26/2,559.78 = 1,147.14/x
  3. Step 3: Cross multiply
    1,855.26x = 2,559.78 × 1,147.14
  4. Step 4: Simplify right side
    1,855.26x = 2,936,426.03
  5. Step 5: Solve for x
    x = 2,936,426.03/1,855.26
  6. Step 6: Final answer
    x = 1,582.76

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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.