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Finding the Fourth Proportional to 2,796.13, 4,193.50 and 848.31

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Solution

The fourth proportional to 2,796.13, 4,193.50 and 848.31 is: 1,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.13 : 4,193.50 = 848.31 : x
  2. Step 2: Convert to fraction form
    2,796.13/4,193.50 = 848.31/x
  3. Step 3: Cross multiply
    2,796.13x = 4,193.50 × 848.31
  4. Step 4: Simplify right side
    2,796.13x = 3,557,387.99
  5. Step 5: Solve for x
    x = 3,557,387.99/2,796.13
  6. Step 6: Final answer
    x = 1,272.25

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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.