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Finding the Fourth Proportional to 2,550.84, 3,824.40 and 1,253.22

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Solution

The fourth proportional to 2,550.84, 3,824.40 and 1,253.22 is: 1,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.84 : 3,824.40 = 1,253.22 : x
  2. Step 2: Convert to fraction form
    2,550.84/3,824.40 = 1,253.22/x
  3. Step 3: Cross multiply
    2,550.84x = 3,824.40 × 1,253.22
  4. Step 4: Simplify right side
    2,550.84x = 4,792,814.57
  5. Step 5: Solve for x
    x = 4,792,814.57/2,550.84
  6. Step 6: Final answer
    x = 1,878.92

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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.