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Finding the Fourth Proportional to 2,975.67, 4,463.37 and 1,027.62

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Solution

The fourth proportional to 2,975.67, 4,463.37 and 1,027.62 is: 1,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.67 : 4,463.37 = 1,027.62 : x
  2. Step 2: Convert to fraction form
    2,975.67/4,463.37 = 1,027.62/x
  3. Step 3: Cross multiply
    2,975.67x = 4,463.37 × 1,027.62
  4. Step 4: Simplify right side
    2,975.67x = 4,586,648.28
  5. Step 5: Solve for x
    x = 4,586,648.28/2,975.67
  6. Step 6: Final answer
    x = 1,541.38

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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.