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Finding the Fourth Proportional to 1,849.56, 2,774.32 and 462.89

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Solution

The fourth proportional to 1,849.56, 2,774.32 and 462.89 is: 694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.56 : 2,774.32 = 462.89 : x
  2. Step 2: Convert to fraction form
    1,849.56/2,774.32 = 462.89/x
  3. Step 3: Cross multiply
    1,849.56x = 2,774.32 × 462.89
  4. Step 4: Simplify right side
    1,849.56x = 1,284,204.98
  5. Step 5: Solve for x
    x = 1,284,204.98/1,849.56
  6. Step 6: Final answer
    x = 694.33

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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.