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Finding the Fourth Proportional to 2,171.81, 3,258.26 and 873.38

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Solution

The fourth proportional to 2,171.81, 3,258.26 and 873.38 is: 1,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.81 : 3,258.26 = 873.38 : x
  2. Step 2: Convert to fraction form
    2,171.81/3,258.26 = 873.38/x
  3. Step 3: Cross multiply
    2,171.81x = 3,258.26 × 873.38
  4. Step 4: Simplify right side
    2,171.81x = 2,845,699.12
  5. Step 5: Solve for x
    x = 2,845,699.12/2,171.81
  6. Step 6: Final answer
    x = 1,310.29

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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.