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Finding the Fourth Proportional to 2,294.29, 3,166.11 and 1,299.56

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Solution

The fourth proportional to 2,294.29, 3,166.11 and 1,299.56 is: 1,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.29 : 3,166.11 = 1,299.56 : x
  2. Step 2: Convert to fraction form
    2,294.29/3,166.11 = 1,299.56/x
  3. Step 3: Cross multiply
    2,294.29x = 3,166.11 × 1,299.56
  4. Step 4: Simplify right side
    2,294.29x = 4,114,549.91
  5. Step 5: Solve for x
    x = 4,114,549.91/2,294.29
  6. Step 6: Final answer
    x = 1,793.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.