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Finding the Fourth Proportional to 2,509.43, 3,763.53 and 1,960.25

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Solution

The fourth proportional to 2,509.43, 3,763.53 and 1,960.25 is: 2,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.43 : 3,763.53 = 1,960.25 : x
  2. Step 2: Convert to fraction form
    2,509.43/3,763.53 = 1,960.25/x
  3. Step 3: Cross multiply
    2,509.43x = 3,763.53 × 1,960.25
  4. Step 4: Simplify right side
    2,509.43x = 7,377,440.86
  5. Step 5: Solve for x
    x = 7,377,440.86/2,509.43
  6. Step 6: Final answer
    x = 2,939.89

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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.