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Finding the Fourth Proportional to 2,718.07, 4,076.64 and 769.81

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Solution

The fourth proportional to 2,718.07, 4,076.64 and 769.81 is: 1,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.07 : 4,076.64 = 769.81 : x
  2. Step 2: Convert to fraction form
    2,718.07/4,076.64 = 769.81/x
  3. Step 3: Cross multiply
    2,718.07x = 4,076.64 × 769.81
  4. Step 4: Simplify right side
    2,718.07x = 3,138,238.24
  5. Step 5: Solve for x
    x = 3,138,238.24/2,718.07
  6. Step 6: Final answer
    x = 1,154.58

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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.