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Finding the Fourth Proportional to 2,872.23, 4,305.16 and 1,485.64

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Solution

The fourth proportional to 2,872.23, 4,305.16 and 1,485.64 is: 2,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.23 : 4,305.16 = 1,485.64 : x
  2. Step 2: Convert to fraction form
    2,872.23/4,305.16 = 1,485.64/x
  3. Step 3: Cross multiply
    2,872.23x = 4,305.16 × 1,485.64
  4. Step 4: Simplify right side
    2,872.23x = 6,395,917.90
  5. Step 5: Solve for x
    x = 6,395,917.90/2,872.23
  6. Step 6: Final answer
    x = 2,226.81

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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.