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Finding the Fourth Proportional to 3,092.82, 4,636.49 and 1,144.58

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Solution

The fourth proportional to 3,092.82, 4,636.49 and 1,144.58 is: 1,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.82 : 4,636.49 = 1,144.58 : x
  2. Step 2: Convert to fraction form
    3,092.82/4,636.49 = 1,144.58/x
  3. Step 3: Cross multiply
    3,092.82x = 4,636.49 × 1,144.58
  4. Step 4: Simplify right side
    3,092.82x = 5,306,804.82
  5. Step 5: Solve for x
    x = 5,306,804.82/3,092.82
  6. Step 6: Final answer
    x = 1,715.85

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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.