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Finding the Fourth Proportional to 2,287.90, 3,427.53 and 1,311.04

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Solution

The fourth proportional to 2,287.90, 3,427.53 and 1,311.04 is: 1,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.90 : 3,427.53 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    2,287.90/3,427.53 = 1,311.04/x
  3. Step 3: Cross multiply
    2,287.90x = 3,427.53 × 1,311.04
  4. Step 4: Simplify right side
    2,287.90x = 4,493,628.93
  5. Step 5: Solve for x
    x = 4,493,628.93/2,287.90
  6. Step 6: Final answer
    x = 1,964.08

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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.