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Finding the Fourth Proportional to 2,145.26, 3,218.06 and 684.43

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Solution

The fourth proportional to 2,145.26, 3,218.06 and 684.43 is: 1,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.26 : 3,218.06 = 684.43 : x
  2. Step 2: Convert to fraction form
    2,145.26/3,218.06 = 684.43/x
  3. Step 3: Cross multiply
    2,145.26x = 3,218.06 × 684.43
  4. Step 4: Simplify right side
    2,145.26x = 2,202,530.47
  5. Step 5: Solve for x
    x = 2,202,530.47/2,145.26
  6. Step 6: Final answer
    x = 1,026.70

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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.