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Finding the Fourth Proportional to 2,736.33, 4,101.08 and 1,174.50

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Solution

The fourth proportional to 2,736.33, 4,101.08 and 1,174.50 is: 1,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.33 : 4,101.08 = 1,174.50 : x
  2. Step 2: Convert to fraction form
    2,736.33/4,101.08 = 1,174.50/x
  3. Step 3: Cross multiply
    2,736.33x = 4,101.08 × 1,174.50
  4. Step 4: Simplify right side
    2,736.33x = 4,816,712.59
  5. Step 5: Solve for x
    x = 4,816,712.59/2,736.33
  6. Step 6: Final answer
    x = 1,760.28

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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.