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Finding the Fourth Proportional to 3,156.80, 4,735.73 and 965.02

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Solution

The fourth proportional to 3,156.80, 4,735.73 and 965.02 is: 1,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.80 : 4,735.73 = 965.02 : x
  2. Step 2: Convert to fraction form
    3,156.80/4,735.73 = 965.02/x
  3. Step 3: Cross multiply
    3,156.80x = 4,735.73 × 965.02
  4. Step 4: Simplify right side
    3,156.80x = 4,570,054.05
  5. Step 5: Solve for x
    x = 4,570,054.05/3,156.80
  6. Step 6: Final answer
    x = 1,447.69

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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.