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Finding the Fourth Proportional to 2,145.23, 3,218.34 and 684.38

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Solution

The fourth proportional to 2,145.23, 3,218.34 and 684.38 is: 1,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.23 : 3,218.34 = 684.38 : x
  2. Step 2: Convert to fraction form
    2,145.23/3,218.34 = 684.38/x
  3. Step 3: Cross multiply
    2,145.23x = 3,218.34 × 684.38
  4. Step 4: Simplify right side
    2,145.23x = 2,202,567.53
  5. Step 5: Solve for x
    x = 2,202,567.53/2,145.23
  6. Step 6: Final answer
    x = 1,026.73

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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.