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Finding the Fourth Proportional to 3,231.77, 4,459.84 and 1,815.46

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Solution

The fourth proportional to 3,231.77, 4,459.84 and 1,815.46 is: 2,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.77 : 4,459.84 = 1,815.46 : x
  2. Step 2: Convert to fraction form
    3,231.77/4,459.84 = 1,815.46/x
  3. Step 3: Cross multiply
    3,231.77x = 4,459.84 × 1,815.46
  4. Step 4: Simplify right side
    3,231.77x = 8,096,661.13
  5. Step 5: Solve for x
    x = 8,096,661.13/3,231.77
  6. Step 6: Final answer
    x = 2,505.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.