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Finding the Fourth Proportional to 2,367.14, 3,550.25 and 905.95

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Solution

The fourth proportional to 2,367.14, 3,550.25 and 905.95 is: 1,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.14 : 3,550.25 = 905.95 : x
  2. Step 2: Convert to fraction form
    2,367.14/3,550.25 = 905.95/x
  3. Step 3: Cross multiply
    2,367.14x = 3,550.25 × 905.95
  4. Step 4: Simplify right side
    2,367.14x = 3,216,326.71
  5. Step 5: Solve for x
    x = 3,216,326.71/2,367.14
  6. Step 6: Final answer
    x = 1,358.74

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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.