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Finding the Fourth Proportional to 2,642.46, 3,647.63 and 1,524.36

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Solution

The fourth proportional to 2,642.46, 3,647.63 and 1,524.36 is: 2,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.46 : 3,647.63 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    2,642.46/3,647.63 = 1,524.36/x
  3. Step 3: Cross multiply
    2,642.46x = 3,647.63 × 1,524.36
  4. Step 4: Simplify right side
    2,642.46x = 5,560,299.36
  5. Step 5: Solve for x
    x = 5,560,299.36/2,642.46
  6. Step 6: Final answer
    x = 2,104.21

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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.