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Finding the Fourth Proportional to 3,164.00, 4,366.26 and 1,837.71

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Solution

The fourth proportional to 3,164.00, 4,366.26 and 1,837.71 is: 2,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.00 : 4,366.26 = 1,837.71 : x
  2. Step 2: Convert to fraction form
    3,164.00/4,366.26 = 1,837.71/x
  3. Step 3: Cross multiply
    3,164.00x = 4,366.26 × 1,837.71
  4. Step 4: Simplify right side
    3,164.00x = 8,023,919.66
  5. Step 5: Solve for x
    x = 8,023,919.66/3,164.00
  6. Step 6: Final answer
    x = 2,536.01

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