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Finding the Fourth Proportional to 2,201.36, 3,301.73 and 740.32

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Solution

The fourth proportional to 2,201.36, 3,301.73 and 740.32 is: 1,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.36 : 3,301.73 = 740.32 : x
  2. Step 2: Convert to fraction form
    2,201.36/3,301.73 = 740.32/x
  3. Step 3: Cross multiply
    2,201.36x = 3,301.73 × 740.32
  4. Step 4: Simplify right side
    2,201.36x = 2,444,327.57
  5. Step 5: Solve for x
    x = 2,444,327.57/2,201.36
  6. Step 6: Final answer
    x = 1,110.37

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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.