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Finding the Fourth Proportional to 1,311.90, 1,805.67 and 1,236.30

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Solution

The fourth proportional to 1,311.90, 1,805.67 and 1,236.30 is: 1,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.90 : 1,805.67 = 1,236.30 : x
  2. Step 2: Convert to fraction form
    1,311.90/1,805.67 = 1,236.30/x
  3. Step 3: Cross multiply
    1,311.90x = 1,805.67 × 1,236.30
  4. Step 4: Simplify right side
    1,311.90x = 2,232,349.82
  5. Step 5: Solve for x
    x = 2,232,349.82/1,311.90
  6. Step 6: Final answer
    x = 1,701.62

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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.