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Finding the Fourth Proportional to 2,675.70, 4,010.31 and 1,632.42

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Solution

The fourth proportional to 2,675.70, 4,010.31 and 1,632.42 is: 2,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.70 : 4,010.31 = 1,632.42 : x
  2. Step 2: Convert to fraction form
    2,675.70/4,010.31 = 1,632.42/x
  3. Step 3: Cross multiply
    2,675.70x = 4,010.31 × 1,632.42
  4. Step 4: Simplify right side
    2,675.70x = 6,546,510.25
  5. Step 5: Solve for x
    x = 6,546,510.25/2,675.70
  6. Step 6: Final answer
    x = 2,446.65

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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.