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Finding the Fourth Proportional to 2,275.67, 3,418.05 and 2,200.94

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Solution

The fourth proportional to 2,275.67, 3,418.05 and 2,200.94 is: 3,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.67 : 3,418.05 = 2,200.94 : x
  2. Step 2: Convert to fraction form
    2,275.67/3,418.05 = 2,200.94/x
  3. Step 3: Cross multiply
    2,275.67x = 3,418.05 × 2,200.94
  4. Step 4: Simplify right side
    2,275.67x = 7,522,905.88
  5. Step 5: Solve for x
    x = 7,522,905.88/2,275.67
  6. Step 6: Final answer
    x = 3,305.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.