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Finding the Fourth Proportional to 3,164.46, 4,366.26 and 1,837.45

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Solution

The fourth proportional to 3,164.46, 4,366.26 and 1,837.45 is: 2,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.46 : 4,366.26 = 1,837.45 : x
  2. Step 2: Convert to fraction form
    3,164.46/4,366.26 = 1,837.45/x
  3. Step 3: Cross multiply
    3,164.46x = 4,366.26 × 1,837.45
  4. Step 4: Simplify right side
    3,164.46x = 8,022,789.89
  5. Step 5: Solve for x
    x = 8,022,789.89/3,164.46
  6. Step 6: Final answer
    x = 2,535.28

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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.