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Finding the Fourth Proportional to 2,733.22, 3,762.72 and 2,607.68

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Solution

The fourth proportional to 2,733.22, 3,762.72 and 2,607.68 is: 3,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.22 : 3,762.72 = 2,607.68 : x
  2. Step 2: Convert to fraction form
    2,733.22/3,762.72 = 2,607.68/x
  3. Step 3: Cross multiply
    2,733.22x = 3,762.72 × 2,607.68
  4. Step 4: Simplify right side
    2,733.22x = 9,811,977.28
  5. Step 5: Solve for x
    x = 9,811,977.28/2,733.22
  6. Step 6: Final answer
    x = 3,589.90

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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.