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Finding the Fourth Proportional to 2,744.91, 4,118.95 and 2,722.63

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Solution

The fourth proportional to 2,744.91, 4,118.95 and 2,722.63 is: 4,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.91 : 4,118.95 = 2,722.63 : x
  2. Step 2: Convert to fraction form
    2,744.91/4,118.95 = 2,722.63/x
  3. Step 3: Cross multiply
    2,744.91x = 4,118.95 × 2,722.63
  4. Step 4: Simplify right side
    2,744.91x = 11,214,360.29
  5. Step 5: Solve for x
    x = 11,214,360.29/2,744.91
  6. Step 6: Final answer
    x = 4,085.51

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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.