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Finding the Fourth Proportional to 1,523.90, 2,289.02 and 1,231.73

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Solution

The fourth proportional to 1,523.90, 2,289.02 and 1,231.73 is: 1,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.90 : 2,289.02 = 1,231.73 : x
  2. Step 2: Convert to fraction form
    1,523.90/2,289.02 = 1,231.73/x
  3. Step 3: Cross multiply
    1,523.90x = 2,289.02 × 1,231.73
  4. Step 4: Simplify right side
    1,523.90x = 2,819,454.60
  5. Step 5: Solve for x
    x = 2,819,454.60/1,523.90
  6. Step 6: Final answer
    x = 1,850.16

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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.