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Finding the Fourth Proportional to 2,643.45, 3,648.20 and 1,524.57

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Solution

The fourth proportional to 2,643.45, 3,648.20 and 1,524.57 is: 2,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.45 : 3,648.20 = 1,524.57 : x
  2. Step 2: Convert to fraction form
    2,643.45/3,648.20 = 1,524.57/x
  3. Step 3: Cross multiply
    2,643.45x = 3,648.20 × 1,524.57
  4. Step 4: Simplify right side
    2,643.45x = 5,561,936.27
  5. Step 5: Solve for x
    x = 5,561,936.27/2,643.45
  6. Step 6: Final answer
    x = 2,104.04

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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.