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Finding the Fourth Proportional to 2,302.29, 3,171.60 and 1,902.29

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Solution

The fourth proportional to 2,302.29, 3,171.60 and 1,902.29 is: 2,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.29 : 3,171.60 = 1,902.29 : x
  2. Step 2: Convert to fraction form
    2,302.29/3,171.60 = 1,902.29/x
  3. Step 3: Cross multiply
    2,302.29x = 3,171.60 × 1,902.29
  4. Step 4: Simplify right side
    2,302.29x = 6,033,287.11
  5. Step 5: Solve for x
    x = 6,033,287.11/2,302.29
  6. Step 6: Final answer
    x = 2,620.56

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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.