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Finding the Fourth Proportional to 1,191.42, 1,785.90 and 1,069.92

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Solution

The fourth proportional to 1,191.42, 1,785.90 and 1,069.92 is: 1,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.42 : 1,785.90 = 1,069.92 : x
  2. Step 2: Convert to fraction form
    1,191.42/1,785.90 = 1,069.92/x
  3. Step 3: Cross multiply
    1,191.42x = 1,785.90 × 1,069.92
  4. Step 4: Simplify right side
    1,191.42x = 1,910,770.13
  5. Step 5: Solve for x
    x = 1,910,770.13/1,191.42
  6. Step 6: Final answer
    x = 1,603.78

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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.