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Finding the Fourth Proportional to 3,170.68, 4,756.01 and 1,221.52

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Solution

The fourth proportional to 3,170.68, 4,756.01 and 1,221.52 is: 1,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.68 : 4,756.01 = 1,221.52 : x
  2. Step 2: Convert to fraction form
    3,170.68/4,756.01 = 1,221.52/x
  3. Step 3: Cross multiply
    3,170.68x = 4,756.01 × 1,221.52
  4. Step 4: Simplify right side
    3,170.68x = 5,809,552.50
  5. Step 5: Solve for x
    x = 5,809,552.50/3,170.68
  6. Step 6: Final answer
    x = 1,832.27

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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.