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Finding the Fourth Proportional to 1,768.73, 2,441.09 and 1,023.12

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Solution

The fourth proportional to 1,768.73, 2,441.09 and 1,023.12 is: 1,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.73 : 2,441.09 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    1,768.73/2,441.09 = 1,023.12/x
  3. Step 3: Cross multiply
    1,768.73x = 2,441.09 × 1,023.12
  4. Step 4: Simplify right side
    1,768.73x = 2,497,522.89
  5. Step 5: Solve for x
    x = 2,497,522.89/1,768.73
  6. Step 6: Final answer
    x = 1,412.05

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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.