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Finding the Fourth Proportional to 2,355.78, 3,243.57 and 2,000.96

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Solution

The fourth proportional to 2,355.78, 3,243.57 and 2,000.96 is: 2,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.78 : 3,243.57 = 2,000.96 : x
  2. Step 2: Convert to fraction form
    2,355.78/3,243.57 = 2,000.96/x
  3. Step 3: Cross multiply
    2,355.78x = 3,243.57 × 2,000.96
  4. Step 4: Simplify right side
    2,355.78x = 6,490,237.61
  5. Step 5: Solve for x
    x = 6,490,237.61/2,355.78
  6. Step 6: Final answer
    x = 2,755.03

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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.