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Finding the Fourth Proportional to 1,829.87, 2,744.72 and 495.71

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Solution

The fourth proportional to 1,829.87, 2,744.72 and 495.71 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.87 : 2,744.72 = 495.71 : x
  2. Step 2: Convert to fraction form
    1,829.87/2,744.72 = 495.71/x
  3. Step 3: Cross multiply
    1,829.87x = 2,744.72 × 495.71
  4. Step 4: Simplify right side
    1,829.87x = 1,360,568.95
  5. Step 5: Solve for x
    x = 1,360,568.95/1,829.87
  6. Step 6: Final answer
    x = 743.54

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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.