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Finding the Fourth Proportional to 2,786.42, 4,179.78 and 938.10

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Solution

The fourth proportional to 2,786.42, 4,179.78 and 938.10 is: 1,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.42 : 4,179.78 = 938.10 : x
  2. Step 2: Convert to fraction form
    2,786.42/4,179.78 = 938.10/x
  3. Step 3: Cross multiply
    2,786.42x = 4,179.78 × 938.10
  4. Step 4: Simplify right side
    2,786.42x = 3,921,051.62
  5. Step 5: Solve for x
    x = 3,921,051.62/2,786.42
  6. Step 6: Final answer
    x = 1,407.20

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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.