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Finding the Fourth Proportional to 2,280.34, 3,421.02 and 799.78

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Solution

The fourth proportional to 2,280.34, 3,421.02 and 799.78 is: 1,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.34 : 3,421.02 = 799.78 : x
  2. Step 2: Convert to fraction form
    2,280.34/3,421.02 = 799.78/x
  3. Step 3: Cross multiply
    2,280.34x = 3,421.02 × 799.78
  4. Step 4: Simplify right side
    2,280.34x = 2,736,063.38
  5. Step 5: Solve for x
    x = 2,736,063.38/2,280.34
  6. Step 6: Final answer
    x = 1,199.85

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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.