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Finding the Fourth Proportional to 3,071.81, 4,239.14 and 1,674.56

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Solution

The fourth proportional to 3,071.81, 4,239.14 and 1,674.56 is: 2,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.81 : 4,239.14 = 1,674.56 : x
  2. Step 2: Convert to fraction form
    3,071.81/4,239.14 = 1,674.56/x
  3. Step 3: Cross multiply
    3,071.81x = 4,239.14 × 1,674.56
  4. Step 4: Simplify right side
    3,071.81x = 7,098,696.50
  5. Step 5: Solve for x
    x = 7,098,696.50/3,071.81
  6. Step 6: Final answer
    x = 2,310.91

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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.