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Finding the Fourth Proportional to 2,035, 3,051.54 and 736.44

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Solution

The fourth proportional to 2,035, 3,051.54 and 736.44 is: 1,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035 : 3,051.54 = 736.44 : x
  2. Step 2: Convert to fraction form
    2,035/3,051.54 = 736.44/x
  3. Step 3: Cross multiply
    2,035x = 3,051.54 × 736.44
  4. Step 4: Simplify right side
    2,035x = 2,247,276.12
  5. Step 5: Solve for x
    x = 2,247,276.12/2,035
  6. Step 6: Final answer
    x = 1,104.31

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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.