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Finding the Fourth Proportional to 2,783.78, 4,174.43 and 836.13

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Solution

The fourth proportional to 2,783.78, 4,174.43 and 836.13 is: 1,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,174.43 = 836.13 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,174.43 = 836.13/x
  3. Step 3: Cross multiply
    2,783.78x = 4,174.43 × 836.13
  4. Step 4: Simplify right side
    2,783.78x = 3,490,361.98
  5. Step 5: Solve for x
    x = 3,490,361.98/2,783.78
  6. Step 6: Final answer
    x = 1,253.82

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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.