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Finding the Fourth Proportional to 2,358.95, 3,540.24 and 1,190.12

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Solution

The fourth proportional to 2,358.95, 3,540.24 and 1,190.12 is: 1,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.95 : 3,540.24 = 1,190.12 : x
  2. Step 2: Convert to fraction form
    2,358.95/3,540.24 = 1,190.12/x
  3. Step 3: Cross multiply
    2,358.95x = 3,540.24 × 1,190.12
  4. Step 4: Simplify right side
    2,358.95x = 4,213,292.73
  5. Step 5: Solve for x
    x = 4,213,292.73/2,358.95
  6. Step 6: Final answer
    x = 1,786.09

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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.