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Finding the Fourth Proportional to 3,180.66, 4,773.62 and 1,621.81

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Solution

The fourth proportional to 3,180.66, 4,773.62 and 1,621.81 is: 2,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.66 : 4,773.62 = 1,621.81 : x
  2. Step 2: Convert to fraction form
    3,180.66/4,773.62 = 1,621.81/x
  3. Step 3: Cross multiply
    3,180.66x = 4,773.62 × 1,621.81
  4. Step 4: Simplify right side
    3,180.66x = 7,741,904.65
  5. Step 5: Solve for x
    x = 7,741,904.65/3,180.66
  6. Step 6: Final answer
    x = 2,434.06

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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.