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Finding the Fourth Proportional to 2,267.55, 3,402.64 and 951.19

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Solution

The fourth proportional to 2,267.55, 3,402.64 and 951.19 is: 1,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.55 : 3,402.64 = 951.19 : x
  2. Step 2: Convert to fraction form
    2,267.55/3,402.64 = 951.19/x
  3. Step 3: Cross multiply
    2,267.55x = 3,402.64 × 951.19
  4. Step 4: Simplify right side
    2,267.55x = 3,236,540.13
  5. Step 5: Solve for x
    x = 3,236,540.13/2,267.55
  6. Step 6: Final answer
    x = 1,427.33

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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.