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Finding the Fourth Proportional to 2,783.78, 4,175.79 and 1,052.54

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Solution

The fourth proportional to 2,783.78, 4,175.79 and 1,052.54 is: 1,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,175.79 = 1,052.54 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,175.79 = 1,052.54/x
  3. Step 3: Cross multiply
    2,783.78x = 4,175.79 × 1,052.54
  4. Step 4: Simplify right side
    2,783.78x = 4,395,186.01
  5. Step 5: Solve for x
    x = 4,395,186.01/2,783.78
  6. Step 6: Final answer
    x = 1,578.86

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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.