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Finding the Fourth Proportional to 2,145.02, 3,216.87 and 683.82

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Solution

The fourth proportional to 2,145.02, 3,216.87 and 683.82 is: 1,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.02 : 3,216.87 = 683.82 : x
  2. Step 2: Convert to fraction form
    2,145.02/3,216.87 = 683.82/x
  3. Step 3: Cross multiply
    2,145.02x = 3,216.87 × 683.82
  4. Step 4: Simplify right side
    2,145.02x = 2,199,760.04
  5. Step 5: Solve for x
    x = 2,199,760.04/2,145.02
  6. Step 6: Final answer
    x = 1,025.52

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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.