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Finding the Fourth Proportional to 3,305.14, 4,561.06 and 1,813.06

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Solution

The fourth proportional to 3,305.14, 4,561.06 and 1,813.06 is: 2,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.14 : 4,561.06 = 1,813.06 : x
  2. Step 2: Convert to fraction form
    3,305.14/4,561.06 = 1,813.06/x
  3. Step 3: Cross multiply
    3,305.14x = 4,561.06 × 1,813.06
  4. Step 4: Simplify right side
    3,305.14x = 8,269,475.44
  5. Step 5: Solve for x
    x = 8,269,475.44/3,305.14
  6. Step 6: Final answer
    x = 2,502.00

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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.