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Finding the Fourth Proportional to 1,245.20, 1,867.80 and 1,091.30

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Solution

The fourth proportional to 1,245.20, 1,867.80 and 1,091.30 is: 1,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.20 : 1,867.80 = 1,091.30 : x
  2. Step 2: Convert to fraction form
    1,245.20/1,867.80 = 1,091.30/x
  3. Step 3: Cross multiply
    1,245.20x = 1,867.80 × 1,091.30
  4. Step 4: Simplify right side
    1,245.20x = 2,038,330.14
  5. Step 5: Solve for x
    x = 2,038,330.14/1,245.20
  6. Step 6: Final answer
    x = 1,636.95

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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.