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Finding the Fourth Proportional to 1,645.79, 2,466.23 and 1,234.31

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Solution

The fourth proportional to 1,645.79, 2,466.23 and 1,234.31 is: 1,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.79 : 2,466.23 = 1,234.31 : x
  2. Step 2: Convert to fraction form
    1,645.79/2,466.23 = 1,234.31/x
  3. Step 3: Cross multiply
    1,645.79x = 2,466.23 × 1,234.31
  4. Step 4: Simplify right side
    1,645.79x = 3,044,073.85
  5. Step 5: Solve for x
    x = 3,044,073.85/1,645.79
  6. Step 6: Final answer
    x = 1,849.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.