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Finding the Fourth Proportional to 2,356.29, 3,534.48 and 796.94

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Solution

The fourth proportional to 2,356.29, 3,534.48 and 796.94 is: 1,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.29 : 3,534.48 = 796.94 : x
  2. Step 2: Convert to fraction form
    2,356.29/3,534.48 = 796.94/x
  3. Step 3: Cross multiply
    2,356.29x = 3,534.48 × 796.94
  4. Step 4: Simplify right side
    2,356.29x = 2,816,750.82
  5. Step 5: Solve for x
    x = 2,816,750.82/2,356.29
  6. Step 6: Final answer
    x = 1,195.42

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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.