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Finding the Fourth Proportional to 2,145.13, 3,217.01 and 683.94

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Solution

The fourth proportional to 2,145.13, 3,217.01 and 683.94 is: 1,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.13 : 3,217.01 = 683.94 : x
  2. Step 2: Convert to fraction form
    2,145.13/3,217.01 = 683.94/x
  3. Step 3: Cross multiply
    2,145.13x = 3,217.01 × 683.94
  4. Step 4: Simplify right side
    2,145.13x = 2,200,238.40
  5. Step 5: Solve for x
    x = 2,200,238.40/2,145.13
  6. Step 6: Final answer
    x = 1,025.69

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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.