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Finding the Fourth Proportional to 1,230.15, 1,840.59 and 682.73

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Solution

The fourth proportional to 1,230.15, 1,840.59 and 682.73 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.15 : 1,840.59 = 682.73 : x
  2. Step 2: Convert to fraction form
    1,230.15/1,840.59 = 682.73/x
  3. Step 3: Cross multiply
    1,230.15x = 1,840.59 × 682.73
  4. Step 4: Simplify right side
    1,230.15x = 1,256,623.71
  5. Step 5: Solve for x
    x = 1,256,623.71/1,230.15
  6. Step 6: Final answer
    x = 1,021.52

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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.