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Finding the Fourth Proportional to 1,995.46, 2,755.34 and 1,785.26

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Solution

The fourth proportional to 1,995.46, 2,755.34 and 1,785.26 is: 2,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.46 : 2,755.34 = 1,785.26 : x
  2. Step 2: Convert to fraction form
    1,995.46/2,755.34 = 1,785.26/x
  3. Step 3: Cross multiply
    1,995.46x = 2,755.34 × 1,785.26
  4. Step 4: Simplify right side
    1,995.46x = 4,918,998.29
  5. Step 5: Solve for x
    x = 4,918,998.29/1,995.46
  6. Step 6: Final answer
    x = 2,465.09

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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.