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Finding the Fourth Proportional to 2,808.78, 4,209.42 and 2,156.31

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Solution

The fourth proportional to 2,808.78, 4,209.42 and 2,156.31 is: 3,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.78 : 4,209.42 = 2,156.31 : x
  2. Step 2: Convert to fraction form
    2,808.78/4,209.42 = 2,156.31/x
  3. Step 3: Cross multiply
    2,808.78x = 4,209.42 × 2,156.31
  4. Step 4: Simplify right side
    2,808.78x = 9,076,814.44
  5. Step 5: Solve for x
    x = 9,076,814.44/2,808.78
  6. Step 6: Final answer
    x = 3,231.59

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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.