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Finding the Fourth Proportional to 2,716.93, 4,076.69 and 963.27

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Solution

The fourth proportional to 2,716.93, 4,076.69 and 963.27 is: 1,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.93 : 4,076.69 = 963.27 : x
  2. Step 2: Convert to fraction form
    2,716.93/4,076.69 = 963.27/x
  3. Step 3: Cross multiply
    2,716.93x = 4,076.69 × 963.27
  4. Step 4: Simplify right side
    2,716.93x = 3,926,953.18
  5. Step 5: Solve for x
    x = 3,926,953.18/2,716.93
  6. Step 6: Final answer
    x = 1,445.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.