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Finding the Fourth Proportional to 3,192.95, 4,790.25 and 1,218.62

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Solution

The fourth proportional to 3,192.95, 4,790.25 and 1,218.62 is: 1,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.95 : 4,790.25 = 1,218.62 : x
  2. Step 2: Convert to fraction form
    3,192.95/4,790.25 = 1,218.62/x
  3. Step 3: Cross multiply
    3,192.95x = 4,790.25 × 1,218.62
  4. Step 4: Simplify right side
    3,192.95x = 5,837,470.50
  5. Step 5: Solve for x
    x = 5,837,470.50/3,192.95
  6. Step 6: Final answer
    x = 1,828.24

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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.