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Finding the Fourth Proportional to 2,532.12, 3,797.90 and 683.42

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Solution

The fourth proportional to 2,532.12, 3,797.90 and 683.42 is: 1,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.12 : 3,797.90 = 683.42 : x
  2. Step 2: Convert to fraction form
    2,532.12/3,797.90 = 683.42/x
  3. Step 3: Cross multiply
    2,532.12x = 3,797.90 × 683.42
  4. Step 4: Simplify right side
    2,532.12x = 2,595,538.41
  5. Step 5: Solve for x
    x = 2,595,538.41/2,532.12
  6. Step 6: Final answer
    x = 1,025.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.