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Finding the Fourth Proportional to 2,783.22, 3,840.78 and 1,524.24

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Solution

The fourth proportional to 2,783.22, 3,840.78 and 1,524.24 is: 2,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.22 : 3,840.78 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    2,783.22/3,840.78 = 1,524.24/x
  3. Step 3: Cross multiply
    2,783.22x = 3,840.78 × 1,524.24
  4. Step 4: Simplify right side
    2,783.22x = 5,854,270.51
  5. Step 5: Solve for x
    x = 5,854,270.51/2,783.22
  6. Step 6: Final answer
    x = 2,103.42

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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.