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Finding the Fourth Proportional to 2,824.88, 4,238.58 and 1,524.84

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Solution

The fourth proportional to 2,824.88, 4,238.58 and 1,524.84 is: 2,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.88 : 4,238.58 = 1,524.84 : x
  2. Step 2: Convert to fraction form
    2,824.88/4,238.58 = 1,524.84/x
  3. Step 3: Cross multiply
    2,824.88x = 4,238.58 × 1,524.84
  4. Step 4: Simplify right side
    2,824.88x = 6,463,156.33
  5. Step 5: Solve for x
    x = 6,463,156.33/2,824.88
  6. Step 6: Final answer
    x = 2,287.94

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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.