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Finding the Fourth Proportional to 2,703, 4,054.77 and 755.22

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Solution

The fourth proportional to 2,703, 4,054.77 and 755.22 is: 1,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703 : 4,054.77 = 755.22 : x
  2. Step 2: Convert to fraction form
    2,703/4,054.77 = 755.22/x
  3. Step 3: Cross multiply
    2,703x = 4,054.77 × 755.22
  4. Step 4: Simplify right side
    2,703x = 3,062,243.40
  5. Step 5: Solve for x
    x = 3,062,243.40/2,703
  6. Step 6: Final answer
    x = 1,132.91

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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.