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Finding the Fourth Proportional to 1,829.52, 2,744.79 and 734.65

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Solution

The fourth proportional to 1,829.52, 2,744.79 and 734.65 is: 1,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.52 : 2,744.79 = 734.65 : x
  2. Step 2: Convert to fraction form
    1,829.52/2,744.79 = 734.65/x
  3. Step 3: Cross multiply
    1,829.52x = 2,744.79 × 734.65
  4. Step 4: Simplify right side
    1,829.52x = 2,016,464.09
  5. Step 5: Solve for x
    x = 2,016,464.09/1,829.52
  6. Step 6: Final answer
    x = 1,102.18

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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.