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Finding the Fourth Proportional to 1,311.65, 1,808.40 and 1,074.73

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Solution

The fourth proportional to 1,311.65, 1,808.40 and 1,074.73 is: 1,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.65 : 1,808.40 = 1,074.73 : x
  2. Step 2: Convert to fraction form
    1,311.65/1,808.40 = 1,074.73/x
  3. Step 3: Cross multiply
    1,311.65x = 1,808.40 × 1,074.73
  4. Step 4: Simplify right side
    1,311.65x = 1,943,537.21
  5. Step 5: Solve for x
    x = 1,943,537.21/1,311.65
  6. Step 6: Final answer
    x = 1,481.75

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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.