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Finding the Fourth Proportional to 3,027.57, 4,532.70 and 2,051.94

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Solution

The fourth proportional to 3,027.57, 4,532.70 and 2,051.94 is: 3,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.57 : 4,532.70 = 2,051.94 : x
  2. Step 2: Convert to fraction form
    3,027.57/4,532.70 = 2,051.94/x
  3. Step 3: Cross multiply
    3,027.57x = 4,532.70 × 2,051.94
  4. Step 4: Simplify right side
    3,027.57x = 9,300,828.44
  5. Step 5: Solve for x
    x = 9,300,828.44/3,027.57
  6. Step 6: Final answer
    x = 3,072.04

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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.