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Finding the Fourth Proportional to 1,829.52, 2,744.46 and 531

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Solution

The fourth proportional to 1,829.52, 2,744.46 and 531 is: 796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.52 : 2,744.46 = 531 : x
  2. Step 2: Convert to fraction form
    1,829.52/2,744.46 = 531/x
  3. Step 3: Cross multiply
    1,829.52x = 2,744.46 × 531
  4. Step 4: Simplify right side
    1,829.52x = 1,457,308.26
  5. Step 5: Solve for x
    x = 1,457,308.26/1,829.52
  6. Step 6: Final answer
    x = 796.55

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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.