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Finding the Fourth Proportional to 2,509.57, 3,763.26 and 1,339.31

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Solution

The fourth proportional to 2,509.57, 3,763.26 and 1,339.31 is: 2,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.57 : 3,763.26 = 1,339.31 : x
  2. Step 2: Convert to fraction form
    2,509.57/3,763.26 = 1,339.31/x
  3. Step 3: Cross multiply
    2,509.57x = 3,763.26 × 1,339.31
  4. Step 4: Simplify right side
    2,509.57x = 5,040,171.75
  5. Step 5: Solve for x
    x = 5,040,171.75/2,509.57
  6. Step 6: Final answer
    x = 2,008.38

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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.