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Finding the Fourth Proportional to 2,201.14, 3,302.21 and 740.22

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Solution

The fourth proportional to 2,201.14, 3,302.21 and 740.22 is: 1,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.14 : 3,302.21 = 740.22 : x
  2. Step 2: Convert to fraction form
    2,201.14/3,302.21 = 740.22/x
  3. Step 3: Cross multiply
    2,201.14x = 3,302.21 × 740.22
  4. Step 4: Simplify right side
    2,201.14x = 2,444,361.89
  5. Step 5: Solve for x
    x = 2,444,361.89/2,201.14
  6. Step 6: Final answer
    x = 1,110.50

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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.