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Finding the Fourth Proportional to 2,072.56, 2,863.80 and 1,482.08

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Solution

The fourth proportional to 2,072.56, 2,863.80 and 1,482.08 is: 2,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.56 : 2,863.80 = 1,482.08 : x
  2. Step 2: Convert to fraction form
    2,072.56/2,863.80 = 1,482.08/x
  3. Step 3: Cross multiply
    2,072.56x = 2,863.80 × 1,482.08
  4. Step 4: Simplify right side
    2,072.56x = 4,244,380.70
  5. Step 5: Solve for x
    x = 4,244,380.70/2,072.56
  6. Step 6: Final answer
    x = 2,047.89

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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.