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Finding the Fourth Proportional to 2,550.46, 3,801.71 and 2,271.40

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Solution

The fourth proportional to 2,550.46, 3,801.71 and 2,271.40 is: 3,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.46 : 3,801.71 = 2,271.40 : x
  2. Step 2: Convert to fraction form
    2,550.46/3,801.71 = 2,271.40/x
  3. Step 3: Cross multiply
    2,550.46x = 3,801.71 × 2,271.40
  4. Step 4: Simplify right side
    2,550.46x = 8,635,204.09
  5. Step 5: Solve for x
    x = 8,635,204.09/2,550.46
  6. Step 6: Final answer
    x = 3,385.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.