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Finding the Fourth Proportional to 3,169.01, 4,754.62 and 1,415.26

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Solution

The fourth proportional to 3,169.01, 4,754.62 and 1,415.26 is: 2,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.01 : 4,754.62 = 1,415.26 : x
  2. Step 2: Convert to fraction form
    3,169.01/4,754.62 = 1,415.26/x
  3. Step 3: Cross multiply
    3,169.01x = 4,754.62 × 1,415.26
  4. Step 4: Simplify right side
    3,169.01x = 6,729,023.50
  5. Step 5: Solve for x
    x = 6,729,023.50/3,169.01
  6. Step 6: Final answer
    x = 2,123.38

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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.