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Finding the Fourth Proportional to 3,192.86, 4,788 and 1,550.18

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Solution

The fourth proportional to 3,192.86, 4,788 and 1,550.18 is: 2,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.86 : 4,788 = 1,550.18 : x
  2. Step 2: Convert to fraction form
    3,192.86/4,788 = 1,550.18/x
  3. Step 3: Cross multiply
    3,192.86x = 4,788 × 1,550.18
  4. Step 4: Simplify right side
    3,192.86x = 7,422,261.84
  5. Step 5: Solve for x
    x = 7,422,261.84/3,192.86
  6. Step 6: Final answer
    x = 2,324.64

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