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Finding the Fourth Proportional to 3,156.58, 4,734.69 and 965.26

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Solution

The fourth proportional to 3,156.58, 4,734.69 and 965.26 is: 1,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.58 : 4,734.69 = 965.26 : x
  2. Step 2: Convert to fraction form
    3,156.58/4,734.69 = 965.26/x
  3. Step 3: Cross multiply
    3,156.58x = 4,734.69 × 965.26
  4. Step 4: Simplify right side
    3,156.58x = 4,570,206.87
  5. Step 5: Solve for x
    x = 4,570,206.87/3,156.58
  6. Step 6: Final answer
    x = 1,447.83

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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.