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Finding the Fourth Proportional to 2,286.70, 3,429.95 and 1,591.31

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Solution

The fourth proportional to 2,286.70, 3,429.95 and 1,591.31 is: 2,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.70 : 3,429.95 = 1,591.31 : x
  2. Step 2: Convert to fraction form
    2,286.70/3,429.95 = 1,591.31/x
  3. Step 3: Cross multiply
    2,286.70x = 3,429.95 × 1,591.31
  4. Step 4: Simplify right side
    2,286.70x = 5,458,114.35
  5. Step 5: Solve for x
    x = 5,458,114.35/2,286.70
  6. Step 6: Final answer
    x = 2,386.90

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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.