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Finding the Fourth Proportional to 2,643.46, 3,647.82 and 1,524.22

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Solution

The fourth proportional to 2,643.46, 3,647.82 and 1,524.22 is: 2,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.46 : 3,647.82 = 1,524.22 : x
  2. Step 2: Convert to fraction form
    2,643.46/3,647.82 = 1,524.22/x
  3. Step 3: Cross multiply
    2,643.46x = 3,647.82 × 1,524.22
  4. Step 4: Simplify right side
    2,643.46x = 5,560,080.20
  5. Step 5: Solve for x
    x = 5,560,080.20/2,643.46
  6. Step 6: Final answer
    x = 2,103.33

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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.