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Finding the Fourth Proportional to 1,909.56, 2,858.10 and 1,179.72

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Solution

The fourth proportional to 1,909.56, 2,858.10 and 1,179.72 is: 1,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,858.10 = 1,179.72 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,858.10 = 1,179.72/x
  3. Step 3: Cross multiply
    1,909.56x = 2,858.10 × 1,179.72
  4. Step 4: Simplify right side
    1,909.56x = 3,371,757.73
  5. Step 5: Solve for x
    x = 3,371,757.73/1,909.56
  6. Step 6: Final answer
    x = 1,765.72

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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.