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Finding the Fourth Proportional to 2,146.69, 3,218.82 and 685.05

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Solution

The fourth proportional to 2,146.69, 3,218.82 and 685.05 is: 1,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.69 : 3,218.82 = 685.05 : x
  2. Step 2: Convert to fraction form
    2,146.69/3,218.82 = 685.05/x
  3. Step 3: Cross multiply
    2,146.69x = 3,218.82 × 685.05
  4. Step 4: Simplify right side
    2,146.69x = 2,205,052.64
  5. Step 5: Solve for x
    x = 2,205,052.64/2,146.69
  6. Step 6: Final answer
    x = 1,027.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.