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Finding the Fourth Proportional to 2,619.97, 3,930.65 and 1,523.40

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Solution

The fourth proportional to 2,619.97, 3,930.65 and 1,523.40 is: 2,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.97 : 3,930.65 = 1,523.40 : x
  2. Step 2: Convert to fraction form
    2,619.97/3,930.65 = 1,523.40/x
  3. Step 3: Cross multiply
    2,619.97x = 3,930.65 × 1,523.40
  4. Step 4: Simplify right side
    2,619.97x = 5,987,952.21
  5. Step 5: Solve for x
    x = 5,987,952.21/2,619.97
  6. Step 6: Final answer
    x = 2,285.50

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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.