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Finding the Fourth Proportional to 2,568.15, 3,852.09 and 1,399.05

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Solution

The fourth proportional to 2,568.15, 3,852.09 and 1,399.05 is: 2,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.15 : 3,852.09 = 1,399.05 : x
  2. Step 2: Convert to fraction form
    2,568.15/3,852.09 = 1,399.05/x
  3. Step 3: Cross multiply
    2,568.15x = 3,852.09 × 1,399.05
  4. Step 4: Simplify right side
    2,568.15x = 5,389,266.51
  5. Step 5: Solve for x
    x = 5,389,266.51/2,568.15
  6. Step 6: Final answer
    x = 2,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.