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Finding the Fourth Proportional to 3,006.10, 4,508.58 and 814.54

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Solution

The fourth proportional to 3,006.10, 4,508.58 and 814.54 is: 1,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.10 : 4,508.58 = 814.54 : x
  2. Step 2: Convert to fraction form
    3,006.10/4,508.58 = 814.54/x
  3. Step 3: Cross multiply
    3,006.10x = 4,508.58 × 814.54
  4. Step 4: Simplify right side
    3,006.10x = 3,672,418.75
  5. Step 5: Solve for x
    x = 3,672,418.75/3,006.10
  6. Step 6: Final answer
    x = 1,221.66

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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.