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Finding the Fourth Proportional to 1,846.25, 2,768.35 and 734.54

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Solution

The fourth proportional to 1,846.25, 2,768.35 and 734.54 is: 1,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.25 : 2,768.35 = 734.54 : x
  2. Step 2: Convert to fraction form
    1,846.25/2,768.35 = 734.54/x
  3. Step 3: Cross multiply
    1,846.25x = 2,768.35 × 734.54
  4. Step 4: Simplify right side
    1,846.25x = 2,033,448.13
  5. Step 5: Solve for x
    x = 2,033,448.13/1,846.25
  6. Step 6: Final answer
    x = 1,101.40

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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.