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Finding the Fourth Proportional to 3,461.00, 5,193.84 and 1,269.95

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Solution

The fourth proportional to 3,461.00, 5,193.84 and 1,269.95 is: 1,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.00 : 5,193.84 = 1,269.95 : x
  2. Step 2: Convert to fraction form
    3,461.00/5,193.84 = 1,269.95/x
  3. Step 3: Cross multiply
    3,461.00x = 5,193.84 × 1,269.95
  4. Step 4: Simplify right side
    3,461.00x = 6,595,891.14
  5. Step 5: Solve for x
    x = 6,595,891.14/3,461.00
  6. Step 6: Final answer
    x = 1,905.78

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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.