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Finding the Fourth Proportional to 1,903.06, 2,855.55 and 793.29

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Solution

The fourth proportional to 1,903.06, 2,855.55 and 793.29 is: 1,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.06 : 2,855.55 = 793.29 : x
  2. Step 2: Convert to fraction form
    1,903.06/2,855.55 = 793.29/x
  3. Step 3: Cross multiply
    1,903.06x = 2,855.55 × 793.29
  4. Step 4: Simplify right side
    1,903.06x = 2,265,292.94
  5. Step 5: Solve for x
    x = 2,265,292.94/1,903.06
  6. Step 6: Final answer
    x = 1,190.34

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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.