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Finding the Fourth Proportional to 2,266.93, 3,401.63 and 951.59

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Solution

The fourth proportional to 2,266.93, 3,401.63 and 951.59 is: 1,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.93 : 3,401.63 = 951.59 : x
  2. Step 2: Convert to fraction form
    2,266.93/3,401.63 = 951.59/x
  3. Step 3: Cross multiply
    2,266.93x = 3,401.63 × 951.59
  4. Step 4: Simplify right side
    2,266.93x = 3,236,957.09
  5. Step 5: Solve for x
    x = 3,236,957.09/2,266.93
  6. Step 6: Final answer
    x = 1,427.90

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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.