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Finding the Fourth Proportional to 3,169.58, 4,750.20 and 1,522.85

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Solution

The fourth proportional to 3,169.58, 4,750.20 and 1,522.85 is: 2,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.58 : 4,750.20 = 1,522.85 : x
  2. Step 2: Convert to fraction form
    3,169.58/4,750.20 = 1,522.85/x
  3. Step 3: Cross multiply
    3,169.58x = 4,750.20 × 1,522.85
  4. Step 4: Simplify right side
    3,169.58x = 7,233,818.32
  5. Step 5: Solve for x
    x = 7,233,818.32/3,169.58
  6. Step 6: Final answer
    x = 2,282.27

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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.