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Finding the Fourth Proportional to 3,295.82, 4,943.86 and 1,446

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Solution

The fourth proportional to 3,295.82, 4,943.86 and 1,446 is: 2,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.82 : 4,943.86 = 1,446 : x
  2. Step 2: Convert to fraction form
    3,295.82/4,943.86 = 1,446/x
  3. Step 3: Cross multiply
    3,295.82x = 4,943.86 × 1,446
  4. Step 4: Simplify right side
    3,295.82x = 7,148,821.56
  5. Step 5: Solve for x
    x = 7,148,821.56/3,295.82
  6. Step 6: Final answer
    x = 2,169.06

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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.