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Finding the Fourth Proportional to 2,744.63, 4,113.99 and 1,185.37

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Solution

The fourth proportional to 2,744.63, 4,113.99 and 1,185.37 is: 1,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.63 : 4,113.99 = 1,185.37 : x
  2. Step 2: Convert to fraction form
    2,744.63/4,113.99 = 1,185.37/x
  3. Step 3: Cross multiply
    2,744.63x = 4,113.99 × 1,185.37
  4. Step 4: Simplify right side
    2,744.63x = 4,876,579.76
  5. Step 5: Solve for x
    x = 4,876,579.76/2,744.63
  6. Step 6: Final answer
    x = 1,776.77

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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.