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Finding the Fourth Proportional to 2,813.49, 4,219.02 and 1,253.97

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Solution

The fourth proportional to 2,813.49, 4,219.02 and 1,253.97 is: 1,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.49 : 4,219.02 = 1,253.97 : x
  2. Step 2: Convert to fraction form
    2,813.49/4,219.02 = 1,253.97/x
  3. Step 3: Cross multiply
    2,813.49x = 4,219.02 × 1,253.97
  4. Step 4: Simplify right side
    2,813.49x = 5,290,524.51
  5. Step 5: Solve for x
    x = 5,290,524.51/2,813.49
  6. Step 6: Final answer
    x = 1,880.41

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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.