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Finding the Fourth Proportional to 2,609.80, 3,601.62 and 1,431.04

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Solution

The fourth proportional to 2,609.80, 3,601.62 and 1,431.04 is: 1,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.80 : 3,601.62 = 1,431.04 : x
  2. Step 2: Convert to fraction form
    2,609.80/3,601.62 = 1,431.04/x
  3. Step 3: Cross multiply
    2,609.80x = 3,601.62 × 1,431.04
  4. Step 4: Simplify right side
    2,609.80x = 5,154,062.28
  5. Step 5: Solve for x
    x = 5,154,062.28/2,609.80
  6. Step 6: Final answer
    x = 1,974.89

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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.