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Finding the Fourth Proportional to 2,682.42, 4,023.64 and 951.04

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Solution

The fourth proportional to 2,682.42, 4,023.64 and 951.04 is: 1,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.42 : 4,023.64 = 951.04 : x
  2. Step 2: Convert to fraction form
    2,682.42/4,023.64 = 951.04/x
  3. Step 3: Cross multiply
    2,682.42x = 4,023.64 × 951.04
  4. Step 4: Simplify right side
    2,682.42x = 3,826,642.59
  5. Step 5: Solve for x
    x = 3,826,642.59/2,682.42
  6. Step 6: Final answer
    x = 1,426.56

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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.