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Finding the Fourth Proportional to 2,002.22, 2,762.87 and 1,162.92

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Solution

The fourth proportional to 2,002.22, 2,762.87 and 1,162.92 is: 1,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.22 : 2,762.87 = 1,162.92 : x
  2. Step 2: Convert to fraction form
    2,002.22/2,762.87 = 1,162.92/x
  3. Step 3: Cross multiply
    2,002.22x = 2,762.87 × 1,162.92
  4. Step 4: Simplify right side
    2,002.22x = 3,212,996.78
  5. Step 5: Solve for x
    x = 3,212,996.78/2,002.22
  6. Step 6: Final answer
    x = 1,604.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.