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Finding the Fourth Proportional to 2,162.22, 3,242.93 and 601.89

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Solution

The fourth proportional to 2,162.22, 3,242.93 and 601.89 is: 902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.22 : 3,242.93 = 601.89 : x
  2. Step 2: Convert to fraction form
    2,162.22/3,242.93 = 601.89/x
  3. Step 3: Cross multiply
    2,162.22x = 3,242.93 × 601.89
  4. Step 4: Simplify right side
    2,162.22x = 1,951,884.13
  5. Step 5: Solve for x
    x = 1,951,884.13/2,162.22
  6. Step 6: Final answer
    x = 902.72

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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.