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Finding the Fourth Proportional to 3,071.38, 4,608.20 and 1,839.66

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Solution

The fourth proportional to 3,071.38, 4,608.20 and 1,839.66 is: 2,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.38 : 4,608.20 = 1,839.66 : x
  2. Step 2: Convert to fraction form
    3,071.38/4,608.20 = 1,839.66/x
  3. Step 3: Cross multiply
    3,071.38x = 4,608.20 × 1,839.66
  4. Step 4: Simplify right side
    3,071.38x = 8,477,521.21
  5. Step 5: Solve for x
    x = 8,477,521.21/3,071.38
  6. Step 6: Final answer
    x = 2,760.17

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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.