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Finding the Fourth Proportional to 2,007.41, 2,768.84 and 1,842.17

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Solution

The fourth proportional to 2,007.41, 2,768.84 and 1,842.17 is: 2,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.41 : 2,768.84 = 1,842.17 : x
  2. Step 2: Convert to fraction form
    2,007.41/2,768.84 = 1,842.17/x
  3. Step 3: Cross multiply
    2,007.41x = 2,768.84 × 1,842.17
  4. Step 4: Simplify right side
    2,007.41x = 5,100,664.77
  5. Step 5: Solve for x
    x = 5,100,664.77/2,007.41
  6. Step 6: Final answer
    x = 2,540.92

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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.