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Finding the Fourth Proportional to 3,006.82, 4,511.14 and 1,362.93

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Solution

The fourth proportional to 3,006.82, 4,511.14 and 1,362.93 is: 2,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.82 : 4,511.14 = 1,362.93 : x
  2. Step 2: Convert to fraction form
    3,006.82/4,511.14 = 1,362.93/x
  3. Step 3: Cross multiply
    3,006.82x = 4,511.14 × 1,362.93
  4. Step 4: Simplify right side
    3,006.82x = 6,148,355.38
  5. Step 5: Solve for x
    x = 6,148,355.38/3,006.82
  6. Step 6: Final answer
    x = 2,044.80

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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.