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Finding the Fourth Proportional to 2,254.83, 3,382.20 and 955.41

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Solution

The fourth proportional to 2,254.83, 3,382.20 and 955.41 is: 1,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.83 : 3,382.20 = 955.41 : x
  2. Step 2: Convert to fraction form
    2,254.83/3,382.20 = 955.41/x
  3. Step 3: Cross multiply
    2,254.83x = 3,382.20 × 955.41
  4. Step 4: Simplify right side
    2,254.83x = 3,231,387.70
  5. Step 5: Solve for x
    x = 3,231,387.70/2,254.83
  6. Step 6: Final answer
    x = 1,433.10

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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.