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Finding the Fourth Proportional to 2,609.57, 3,601.19 and 1,490.85

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Solution

The fourth proportional to 2,609.57, 3,601.19 and 1,490.85 is: 2,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.57 : 3,601.19 = 1,490.85 : x
  2. Step 2: Convert to fraction form
    2,609.57/3,601.19 = 1,490.85/x
  3. Step 3: Cross multiply
    2,609.57x = 3,601.19 × 1,490.85
  4. Step 4: Simplify right side
    2,609.57x = 5,368,837.84
  5. Step 5: Solve for x
    x = 5,368,837.84/2,609.57
  6. Step 6: Final answer
    x = 2,057.37

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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.