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Finding the Fourth Proportional to 3,170.96, 4,759.50 and 1,528.64

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Solution

The fourth proportional to 3,170.96, 4,759.50 and 1,528.64 is: 2,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.96 : 4,759.50 = 1,528.64 : x
  2. Step 2: Convert to fraction form
    3,170.96/4,759.50 = 1,528.64/x
  3. Step 3: Cross multiply
    3,170.96x = 4,759.50 × 1,528.64
  4. Step 4: Simplify right side
    3,170.96x = 7,275,562.08
  5. Step 5: Solve for x
    x = 7,275,562.08/3,170.96
  6. Step 6: Final answer
    x = 2,294.44

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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.