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Finding the Fourth Proportional to 3,092.69, 4,639.64 and 1,144.91

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Solution

The fourth proportional to 3,092.69, 4,639.64 and 1,144.91 is: 1,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.69 : 4,639.64 = 1,144.91 : x
  2. Step 2: Convert to fraction form
    3,092.69/4,639.64 = 1,144.91/x
  3. Step 3: Cross multiply
    3,092.69x = 4,639.64 × 1,144.91
  4. Step 4: Simplify right side
    3,092.69x = 5,311,941.31
  5. Step 5: Solve for x
    x = 5,311,941.31/3,092.69
  6. Step 6: Final answer
    x = 1,717.58

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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.