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Finding the Fourth Proportional to 2,843.81, 4,266.33 and 869.60

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Solution

The fourth proportional to 2,843.81, 4,266.33 and 869.60 is: 1,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.81 : 4,266.33 = 869.60 : x
  2. Step 2: Convert to fraction form
    2,843.81/4,266.33 = 869.60/x
  3. Step 3: Cross multiply
    2,843.81x = 4,266.33 × 869.60
  4. Step 4: Simplify right side
    2,843.81x = 3,709,979.24
  5. Step 5: Solve for x
    x = 3,709,979.24/2,843.81
  6. Step 6: Final answer
    x = 1,304.58

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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.