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Finding the Fourth Proportional to 2,145.78, 3,217.85 and 684.14

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Solution

The fourth proportional to 2,145.78, 3,217.85 and 684.14 is: 1,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.78 : 3,217.85 = 684.14 : x
  2. Step 2: Convert to fraction form
    2,145.78/3,217.85 = 684.14/x
  3. Step 3: Cross multiply
    2,145.78x = 3,217.85 × 684.14
  4. Step 4: Simplify right side
    2,145.78x = 2,201,440.39
  5. Step 5: Solve for x
    x = 2,201,440.39/2,145.78
  6. Step 6: Final answer
    x = 1,025.94

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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.