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Finding the Fourth Proportional to 2,509.97, 3,762.90 and 1,960.52

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Solution

The fourth proportional to 2,509.97, 3,762.90 and 1,960.52 is: 2,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.97 : 3,762.90 = 1,960.52 : x
  2. Step 2: Convert to fraction form
    2,509.97/3,762.90 = 1,960.52/x
  3. Step 3: Cross multiply
    2,509.97x = 3,762.90 × 1,960.52
  4. Step 4: Simplify right side
    2,509.97x = 7,377,221.89
  5. Step 5: Solve for x
    x = 7,377,221.89/2,509.97
  6. Step 6: Final answer
    x = 2,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.