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Finding the Fourth Proportional to 1,829.40, 2,744.46 and 733.32

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Solution

The fourth proportional to 1,829.40, 2,744.46 and 733.32 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.40 : 2,744.46 = 733.32 : x
  2. Step 2: Convert to fraction form
    1,829.40/2,744.46 = 733.32/x
  3. Step 3: Cross multiply
    1,829.40x = 2,744.46 × 733.32
  4. Step 4: Simplify right side
    1,829.40x = 2,012,567.41
  5. Step 5: Solve for x
    x = 2,012,567.41/1,829.40
  6. Step 6: Final answer
    x = 1,100.12

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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.