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Finding the Fourth Proportional to 2,751.76, 3,792.18 and 1,964.44

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Solution

The fourth proportional to 2,751.76, 3,792.18 and 1,964.44 is: 2,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.76 : 3,792.18 = 1,964.44 : x
  2. Step 2: Convert to fraction form
    2,751.76/3,792.18 = 1,964.44/x
  3. Step 3: Cross multiply
    2,751.76x = 3,792.18 × 1,964.44
  4. Step 4: Simplify right side
    2,751.76x = 7,449,510.08
  5. Step 5: Solve for x
    x = 7,449,510.08/2,751.76
  6. Step 6: Final answer
    x = 2,707.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.