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Finding the Fourth Proportional to 2,793.96, 4,192.56 and 2,643.84

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Solution

The fourth proportional to 2,793.96, 4,192.56 and 2,643.84 is: 3,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.96 : 4,192.56 = 2,643.84 : x
  2. Step 2: Convert to fraction form
    2,793.96/4,192.56 = 2,643.84/x
  3. Step 3: Cross multiply
    2,793.96x = 4,192.56 × 2,643.84
  4. Step 4: Simplify right side
    2,793.96x = 11,084,457.83
  5. Step 5: Solve for x
    x = 11,084,457.83/2,793.96
  6. Step 6: Final answer
    x = 3,967.29

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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.