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Finding the Fourth Proportional to 2,145.69, 3,216.49 and 683.90

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Solution

The fourth proportional to 2,145.69, 3,216.49 and 683.90 is: 1,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.69 : 3,216.49 = 683.90 : x
  2. Step 2: Convert to fraction form
    2,145.69/3,216.49 = 683.90/x
  3. Step 3: Cross multiply
    2,145.69x = 3,216.49 × 683.90
  4. Step 4: Simplify right side
    2,145.69x = 2,199,757.51
  5. Step 5: Solve for x
    x = 2,199,757.51/2,145.69
  6. Step 6: Final answer
    x = 1,025.20

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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.