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Finding the Fourth Proportional to 2,666.80, 4,000.22 and 935.44

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Solution

The fourth proportional to 2,666.80, 4,000.22 and 935.44 is: 1,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.80 : 4,000.22 = 935.44 : x
  2. Step 2: Convert to fraction form
    2,666.80/4,000.22 = 935.44/x
  3. Step 3: Cross multiply
    2,666.80x = 4,000.22 × 935.44
  4. Step 4: Simplify right side
    2,666.80x = 3,741,965.80
  5. Step 5: Solve for x
    x = 3,741,965.80/2,666.80
  6. Step 6: Final answer
    x = 1,403.17

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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.