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Finding the Fourth Proportional to 2,268.43, 3,402.54 and 951.84

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Solution

The fourth proportional to 2,268.43, 3,402.54 and 951.84 is: 1,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.43 : 3,402.54 = 951.84 : x
  2. Step 2: Convert to fraction form
    2,268.43/3,402.54 = 951.84/x
  3. Step 3: Cross multiply
    2,268.43x = 3,402.54 × 951.84
  4. Step 4: Simplify right side
    2,268.43x = 3,238,673.67
  5. Step 5: Solve for x
    x = 3,238,673.67/2,268.43
  6. Step 6: Final answer
    x = 1,427.72

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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.