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Finding the Fourth Proportional to 2,286.49, 3,155.30 and 1,354.99

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Solution

The fourth proportional to 2,286.49, 3,155.30 and 1,354.99 is: 1,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.49 : 3,155.30 = 1,354.99 : x
  2. Step 2: Convert to fraction form
    2,286.49/3,155.30 = 1,354.99/x
  3. Step 3: Cross multiply
    2,286.49x = 3,155.30 × 1,354.99
  4. Step 4: Simplify right side
    2,286.49x = 4,275,399.95
  5. Step 5: Solve for x
    x = 4,275,399.95/2,286.49
  6. Step 6: Final answer
    x = 1,869.85

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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.