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Finding the Fourth Proportional to 3,177.66, 4,766.49 and 1,716.48

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Solution

The fourth proportional to 3,177.66, 4,766.49 and 1,716.48 is: 2,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.66 : 4,766.49 = 1,716.48 : x
  2. Step 2: Convert to fraction form
    3,177.66/4,766.49 = 1,716.48/x
  3. Step 3: Cross multiply
    3,177.66x = 4,766.49 × 1,716.48
  4. Step 4: Simplify right side
    3,177.66x = 8,181,584.76
  5. Step 5: Solve for x
    x = 8,181,584.76/3,177.66
  6. Step 6: Final answer
    x = 2,574.72

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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.