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Finding the Fourth Proportional to 2,744.70, 3,797.53 and 2,396.40

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Solution

The fourth proportional to 2,744.70, 3,797.53 and 2,396.40 is: 3,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.70 : 3,797.53 = 2,396.40 : x
  2. Step 2: Convert to fraction form
    2,744.70/3,797.53 = 2,396.40/x
  3. Step 3: Cross multiply
    2,744.70x = 3,797.53 × 2,396.40
  4. Step 4: Simplify right side
    2,744.70x = 9,100,400.89
  5. Step 5: Solve for x
    x = 9,100,400.89/2,744.70
  6. Step 6: Final answer
    x = 3,315.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.