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Finding the Fourth Proportional to 2,286.90, 3,426.03 and 1,310.04

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Solution

The fourth proportional to 2,286.90, 3,426.03 and 1,310.04 is: 1,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.90 : 3,426.03 = 1,310.04 : x
  2. Step 2: Convert to fraction form
    2,286.90/3,426.03 = 1,310.04/x
  3. Step 3: Cross multiply
    2,286.90x = 3,426.03 × 1,310.04
  4. Step 4: Simplify right side
    2,286.90x = 4,488,236.34
  5. Step 5: Solve for x
    x = 4,488,236.34/2,286.90
  6. Step 6: Final answer
    x = 1,962.59

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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.