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Finding the Fourth Proportional to 2,145.11, 3,217.91 and 683.93

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Solution

The fourth proportional to 2,145.11, 3,217.91 and 683.93 is: 1,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.11 : 3,217.91 = 683.93 : x
  2. Step 2: Convert to fraction form
    2,145.11/3,217.91 = 683.93/x
  3. Step 3: Cross multiply
    2,145.11x = 3,217.91 × 683.93
  4. Step 4: Simplify right side
    2,145.11x = 2,200,829.81
  5. Step 5: Solve for x
    x = 2,200,829.81/2,145.11
  6. Step 6: Final answer
    x = 1,025.97

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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.