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Finding the Fourth Proportional to 1,245.52, 1,719.12 and 1,186.80

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Solution

The fourth proportional to 1,245.52, 1,719.12 and 1,186.80 is: 1,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.52 : 1,719.12 = 1,186.80 : x
  2. Step 2: Convert to fraction form
    1,245.52/1,719.12 = 1,186.80/x
  3. Step 3: Cross multiply
    1,245.52x = 1,719.12 × 1,186.80
  4. Step 4: Simplify right side
    1,245.52x = 2,040,251.62
  5. Step 5: Solve for x
    x = 2,040,251.62/1,245.52
  6. Step 6: Final answer
    x = 1,638.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.