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Finding the Fourth Proportional to 2,371.53, 3,556.76 and 728.09

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Solution

The fourth proportional to 2,371.53, 3,556.76 and 728.09 is: 1,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.53 : 3,556.76 = 728.09 : x
  2. Step 2: Convert to fraction form
    2,371.53/3,556.76 = 728.09/x
  3. Step 3: Cross multiply
    2,371.53x = 3,556.76 × 728.09
  4. Step 4: Simplify right side
    2,371.53x = 2,589,637.40
  5. Step 5: Solve for x
    x = 2,589,637.40/2,371.53
  6. Step 6: Final answer
    x = 1,091.97

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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.