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Finding the Fourth Proportional to 2,544.28, 3,798 and 2,199.83

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Solution

The fourth proportional to 2,544.28, 3,798 and 2,199.83 is: 3,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.28 : 3,798 = 2,199.83 : x
  2. Step 2: Convert to fraction form
    2,544.28/3,798 = 2,199.83/x
  3. Step 3: Cross multiply
    2,544.28x = 3,798 × 2,199.83
  4. Step 4: Simplify right side
    2,544.28x = 8,354,935.35
  5. Step 5: Solve for x
    x = 8,354,935.35/2,544.28
  6. Step 6: Final answer
    x = 3,283.81

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Why These Related Problems?

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