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Finding the Fourth Proportional to 3,164.01, 4,365.63 and 1,837.68

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Solution

The fourth proportional to 3,164.01, 4,365.63 and 1,837.68 is: 2,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.01 : 4,365.63 = 1,837.68 : x
  2. Step 2: Convert to fraction form
    3,164.01/4,365.63 = 1,837.68/x
  3. Step 3: Cross multiply
    3,164.01x = 4,365.63 × 1,837.68
  4. Step 4: Simplify right side
    3,164.01x = 8,022,630.94
  5. Step 5: Solve for x
    x = 8,022,630.94/3,164.01
  6. Step 6: Final answer
    x = 2,535.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.