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Finding the Fourth Proportional to 2,463.75, 3,690.97 and 1,909.41

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Solution

The fourth proportional to 2,463.75, 3,690.97 and 1,909.41 is: 2,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.75 : 3,690.97 = 1,909.41 : x
  2. Step 2: Convert to fraction form
    2,463.75/3,690.97 = 1,909.41/x
  3. Step 3: Cross multiply
    2,463.75x = 3,690.97 × 1,909.41
  4. Step 4: Simplify right side
    2,463.75x = 7,047,556.41
  5. Step 5: Solve for x
    x = 7,047,556.41/2,463.75
  6. Step 6: Final answer
    x = 2,860.50

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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.