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Finding the Fourth Proportional to 1,230.85, 1,842.73 and 1,144.35

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Solution

The fourth proportional to 1,230.85, 1,842.73 and 1,144.35 is: 1,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.85 : 1,842.73 = 1,144.35 : x
  2. Step 2: Convert to fraction form
    1,230.85/1,842.73 = 1,144.35/x
  3. Step 3: Cross multiply
    1,230.85x = 1,842.73 × 1,144.35
  4. Step 4: Simplify right side
    1,230.85x = 2,108,728.08
  5. Step 5: Solve for x
    x = 2,108,728.08/1,230.85
  6. Step 6: Final answer
    x = 1,713.23

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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.