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Finding the Fourth Proportional to 3,305.96, 4,562.24 and 1,813.94

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Solution

The fourth proportional to 3,305.96, 4,562.24 and 1,813.94 is: 2,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.96 : 4,562.24 = 1,813.94 : x
  2. Step 2: Convert to fraction form
    3,305.96/4,562.24 = 1,813.94/x
  3. Step 3: Cross multiply
    3,305.96x = 4,562.24 × 1,813.94
  4. Step 4: Simplify right side
    3,305.96x = 8,275,597.74
  5. Step 5: Solve for x
    x = 8,275,597.74/3,305.96
  6. Step 6: Final answer
    x = 2,503.24

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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.