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Finding the Fourth Proportional to 1,796.25, 2,478.12 and 1,325.28

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Solution

The fourth proportional to 1,796.25, 2,478.12 and 1,325.28 is: 1,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.25 : 2,478.12 = 1,325.28 : x
  2. Step 2: Convert to fraction form
    1,796.25/2,478.12 = 1,325.28/x
  3. Step 3: Cross multiply
    1,796.25x = 2,478.12 × 1,325.28
  4. Step 4: Simplify right side
    1,796.25x = 3,284,202.87
  5. Step 5: Solve for x
    x = 3,284,202.87/1,796.25
  6. Step 6: Final answer
    x = 1,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.