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Finding the Fourth Proportional to 2,675.82, 4,010.46 and 1,563.18

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Solution

The fourth proportional to 2,675.82, 4,010.46 and 1,563.18 is: 2,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.82 : 4,010.46 = 1,563.18 : x
  2. Step 2: Convert to fraction form
    2,675.82/4,010.46 = 1,563.18/x
  3. Step 3: Cross multiply
    2,675.82x = 4,010.46 × 1,563.18
  4. Step 4: Simplify right side
    2,675.82x = 6,269,070.86
  5. Step 5: Solve for x
    x = 6,269,070.86/2,675.82
  6. Step 6: Final answer
    x = 2,342.86

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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.