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Finding the Fourth Proportional to 2,187.29, 3,280.98 and 799.76

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Solution

The fourth proportional to 2,187.29, 3,280.98 and 799.76 is: 1,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.29 : 3,280.98 = 799.76 : x
  2. Step 2: Convert to fraction form
    2,187.29/3,280.98 = 799.76/x
  3. Step 3: Cross multiply
    2,187.29x = 3,280.98 × 799.76
  4. Step 4: Simplify right side
    2,187.29x = 2,623,996.56
  5. Step 5: Solve for x
    x = 2,623,996.56/2,187.29
  6. Step 6: Final answer
    x = 1,199.66

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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.